capacitor What It Does,How It Works,Variants,Values,How to Use it,What Can Go Wrong

Quite often referred to as a cap. Formerly known (primarily in the United Kingdom) as a

condenser, but that term has become obsolete.

What It Does

A capacitor connected across a DC power source will accumulate a charge, which then persists af­ter the source is disconnected. In this way, the capacitor stores (and can then discharge) energy like a small rechargeable battery. The charge/ discharge rate is extremely fast but can be limited by a series resistor, which enables the capacitor to be used as a timing component in many elec­ tronic circuits.

A capacitor can also be used to block DC current while it passes pulses, or electrical “noise,” or al­ternating current, or audio signals, or other wave forms. This capability enables it to smooth the output voltage provided by power supplies; to remove spikes from signals that would otherwise tend to cause spurious triggering of components in digital circuits; to adjust the frequency re­ sponse of an audio circuit; or to couple separate components or circuit elements that must be protected from transmission of DC current.

Schematic symbols for capacitors are shown in Figure 12-1. At top-left is anonpolarized capaci­tor, while the other two indicate that a polarized capacitor must be used, and must be oriented as shown. The variant at the bottom is most com­monly used in Europe. Confusingly, the nonpo­larized symbol may also be used to identify a po­

larized capacitor, if a + sign is added. The polar­ized symbols are sometimes printed without + signs, but the symbols still indicate that polarity must be observed.

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Figure 12-1. Schematic symbols for polarized and non polarized capacitors. See text for details.

How It Works

In its simplest form, a capacitor consists of two plates, each with a lead attached to it for con­nection with a DC power source. The plates are separated by a thin, insulating layer known as the dielectric, which is usually a solid or a paste but may be liquid, gel, gaseous, or vacuum.

The plates in most capacitors are made from thin metal film or metallized plastic film. To minimize the size of the component, the film may be rolled up to form a compact cylindrical package, or multiple flat sections may be interleaved.

Electrons from the power source will migrate on­ to the plate attached to the negative side of the source, and will tend to repel electrons from the other plate. This may be thought of as creating electron holes in the other plate or as attracting positive charges, as shown in Figure 12-2. When the capacitor is disconnected from the power source, the opposite charges on its plates will persist in equilibrium as a result of their mutual attraction, although the voltage will gradually dissipate as a result of leakage, either through the dielectric or via other pathways.

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Figure 12-2. Because the plates of a capacitor are electri- cally conductive, they will become populated with positive and negative charges when connected with a DC power source. As opposite charges attract each other, they will tend to congregate on either side of the dielectric, which is an insulating layer. The battery symbol is shown here colored for clarity.

When a resistor is placed across the leads of a charged capacitor, the capacitor will discharge

itself through the resistor at a rate limited by the resistance. Conversely, if a capacitor is charged through a resistor, the resistor will limit the charg­ing rate.

A resistor in series with a capacitor is known as an RC network (Resistor-Capacitor network). In Figure 12-3, an RC circuit is shown with a SPDT switch that charges or discharges the capacitor via a series resistor. The voltage at point A in­ creases nonlinearly (relative to the negative side of the power supply) while the capacitor is charging, and decreases nonlinearly while the capaci­ tor is discharging, as suggested by the graphs. At any moment, the time that the capacitor takes to acquire 63% of the difference between its current charge and the voltage being supplied to it is known as the time constant for the circuit. See “The Time Constant” (page 105) for additional in­ formation.

When a capacitor is connected across an AC volt­ age source, each surge of electrons to one plate induces an equal and opposite positive surge to the other plate, and when polarity of the power supply reverses, the charges on the plates switch places. These surges may make it seem that the capacitor is conducting AC current, even though the dielectric that separates the plates is an in­ sulator. See Figure 12-4. Often a capacitor is said to “pass” AC, even though this is not really hap­pening. For convenience, and because the con­cept is widely established, this encyclopedia refers to capacitors as “passing” AC.

Depending on the size of the capacitor, it will block some AC frequencies while passing others. Generally speaking, a smaller capacitor will pass high frequencies relatively efficiently, as each lit­ tle surge of current fills each plate. However, the situation is complicated by the inductive reac­tance (which creates the effective series resist­ ance) of a capacitor, as discussed below. See “Al­ ternating Current and Capacitive Reactance” (page 106).

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Figure 12-3. An RC (Resistor-Capacitor) network with a switch to control charge and discharge of a capacitor. At top, the curve gives an approximate idea of the charging behavior of the capacitor. At bottom, the curve illustrates its discharging behavior.

Variants
Format

The three most common packages for capacitors are cylindrical, disc, and rectangular tablet.

A cylindrical capacitor may have axial leads (a wire attached to each end) or radial leads (both wires emerging from one end). Radial capacitors are

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Figure 12-4. In the left diagram, a source of alternating current charges the upper plate of a capacitor positively and the lower plate negatively. This process entails a flow of conventional current shown by the arrows. A moment later, when the AC current flow reverses, the flow also re- verses, creating the impression that the capacitor “pass- es” AC current.

more widely used as they allow easy insertion into a circuit board. The capacitor is usually pack­ aged in a small aluminum can, closed at one end, capped with an insulating disc at the other end, and wrapped in a thin layer of insulating plastic. Some samples are shown in Figure 12-5 and Figure 12-6.

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Figure 12-5. Cylindrical capacitors with radial leads. All are electrolytic.

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Figure 12-6. Cylindrical capacitors with radial leads (top and bottom) and axial leads (center). All are electrolytic.

A disc capacitor (sometimes referred to as a but­ ton capacitor) is usually encased in an insulating ceramic compound, and has radial leads. Modern small-value ceramic capacitors are more likely to be dipped in epoxy, or to be square tablets. Some samples are shown in Figure 12-7.

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Figure 12-7. Generic ceramic capacitors. Left: rated for 0.1μF at 50V. Center: 1μF at 50V. Right: 1μF at 50V.

A surface-mount capacitor is square or rectangu­ lar, usually a few millimeters in each dimension, with two conductive pads or contacts at oppo­ site ends. It appears almost identical to a surface- mount resistor. Larger-value capacitors are inevi­ tably bigger but can still be designed for surface- mount applications. See Figure 12-8.

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Figure 12-8. Most surface-mount capacitors are as tiny as other surface-mount components, but this 4,700μF electrolytic (at 10V) has a base approximately 0.6” square. A solder tab is visible at the center of the nearest edge.

Many capacitors are non polarized, meaning that they are insensitive to polarity. However, elec­trolytic and tantalum capacitors must be con­nected “the right way around” to any DC voltage source. If one lead is longer than the other, it must be the “more positive” lead. A mark or band at one end of the capacitor indicates the “more negative” end. Tantalum capacitors are likely to indicate the positive lead by using a + sign on the body of the component.

An arrow printed on the side of a capacitor usu­ ally points to the “more negative” terminal. In an aluminum can with axial leads, the lead at one end will have an insulating disc around it while the other lead will be integral with the rounded end of the can. The wire at the insulated end must be “more positive” than the wire at the other end.

A capacitor array contains two or more capacitors that are isolated from each other internally and accessed by external contacts. They are sold in surface-mount format and also in through-hole chips of DIP (dual-inline package) or SIP (single- inline package) format. The internal components may be connected in one of three configurations: isolated, common-bus, or dual-ended common bus. Technically the isolated configuration should be referred to as a capacitor array, but in practice, all three configurations are usually re­ ferred to as capacitor networks. See Figure 12-9 and Figure 12-10.

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Figure 12-9. A capacitor network most often consists of a single-inline package (SIP) chip containing multiple capacitors in one of three configurations shown here. Top: Isolated. Center: Common bus. Bottom: Dual-ended common bus. Individual capacitor values ranging from 0.001μF to 0.1μF are common.

Capacitor networks can reduce the component count in circuits where digital logic chips require bypass capacitors. They are comparable in con­ cept to resistor arrays.

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Figure 12-10. A capacitor array in through-hole, SIP for- mat.

Chips containing RC circuits (multiple resistor- capacitor pairs) are available, although uncom­mon.

Principal Types

Electrolytic capacitors are relatively cheap, com­ pact, and available in large values. These at­ tributes have made them a popular choice in consumer electronics, especially for power sup­ plies. The capacitive capability of an electrolytic is refreshed by periodic application of voltage. A moist paste inside the capacitor is intended to improve the dielectric performance when volt­ age is applied, but can dry out during a period of years. If an electrolytic is stored for 10 years or so, it may allow a short circuit between its leads when power is applied to it. The capacitors in Figure 12-5 and Figure 12-6 are all electrolytic. The capacitor in Figure 12-11 is at the high end of the scale.

A bipolar electrolytic is a single package contain­ing two electrolytic capacitors in series, end-to- end, with opposed polarities, so that the combi­ nation can be used where the voltage of a signal fluctuates above and below 0VDC. See Figure 12-12 and Figure 12-13. This type of com­ ponent is likely to have “BP” (bipolar) or “NP”

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Figure 12-11. This 13,000μF electrolytic capacitor is larg- er than would be required in most everyday applications.

(nonpolarized) printed on its shell. It may be used in audio circuits where polarized capacitors are normally unsuitable, and is likely to be cheaper than non-electrolytic alternatives. However, it suffers from the same weaknesses as all electro­ lytics.

Tantalum capacitors are compact but relatively expensive, and can be vulnerable to voltage spikes. They are sensitive to application of the wrong polarity. Typically they are epoxy-dipped rather than mounted inside a small aluminum can like electrolytics, and consequently the elec­trolyte may be less likely to evaporate and dry out. In Figure 12-14, two tantalum capacitors (rated 330μF at 6.3V, left, and 100μF at 20V, right) are shown above a polyester film capacitor (rated

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Figure 12-12. Schematic view of the internal configura- tion of a bipolar electrolytic capacitor, also known as non- polarized electrolytic capacitor. It consists of two electro- lytics in series, with opposing polarities.

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Figure 12-13. Bipolar electrolytic capacitors. The larger size of the one at top-left is a consequence of its higher voltage rating. “BP” on the other two capacitors is an ac- ronym for “bipolar,” meaning that they have no polarity, even though one lead may be shorter than the other.

10μF at 100V). Surface-mount tantalum capaci­ tors are decreasing in popularity as large-value ceramic capacitors are becoming available, with smaller dimensions and lower equivalent series resistance.

Plastic-film capacitors are discussed in the fol­ lowing section.

Single-layer ceramic capacitors are often used for bypass, and are suitable for high-frequency or audio applications. Their value is not very stable with temperature, although the “NPO” variants are more stable. Multilayer ceramic capacitors are more compact than single-layer ceramic, and

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Figure 12-14. Two tantalum capacitors are shown above a polyester film capacitor. The polarity of the tantalum capacitors is indicated by the plus signs adjacent to the longer lead, in each case. The polyester capacitor is non- polarized.

consequently are becoming increasingly popu­lar. Three multilayer ceramic capacitors are shown in Figure 12-15. At bottom-right, even the largest (rated at 47μF at 16V) is only 0.2” square.

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Figure 12-15. Multilayer ceramic capacitors are extremely compact, and are non polarized. Top: 1,000pF (i.e. 1nF) at 100V. Bottom left: 1μF at 25V. Bottom right: 47μF at 16V.


Dielectrics

The dielectric used in a capacitor most often con­sists of an electrolytic layer, a ceramic compound, a plastic film (polycarbonate, polypropylene, or polystyrene), or paper.

An electrolytic layer in an electrolytic capacitor traditionally consists of paper soaked in an elec­trolyte. It is interleaved with a thin film of alumi­ num on which is deposited a layer of aluminum oxide. The layers are rolled up to create a cylin­drical component. The functioning dielectric is created when voltage is applied.

Polyester

This is the most common type of plastic film, with the highest dielectric constant, ena­bling highest capacitance per unit volume. Widely used in DC applications, but the rol­ led layers create parasitic inductance. Often used in decoupling, coupling, and bypass, but not so suitable for situations requiring stability and low leakage. May not be suit­ able for high current.

Polycarbonate

Thermally very stable, often specified for fil­ ters and timing circuits that require a fixed frequency. An excellent type of capacitor, compatible for mil-spec applications, but ex­ pensive.

Mylar, Polyester, and other plastic-film types are often used in audio circuits, where their voltage limitation (typically less than 100VDC) is not a problem, and their nonpolarized attribute is an advantage.

Polypropylene

Vulnerable to heat (a maximum of 85 de­grees Centigrade is common), and less ther­mally stable than polycarbonate. A very low power dissipation factor allows it to handle higher power at higher frequencies. Avail­ able with tolerances down to 1%. These ca­pacitors are a popular choice in crossover

networks for loudspeaker combinations, and are used in switching power supplies. They tend to be physically larger than other capacitors using film dielectric.

Values
Farads

The electrical storage capacity of a capacitor is measured in farads, universally represented by the letter F. A capacitor that can be charged with a potential difference between its plates of 1 volt, in a time of 1 second, during which it draws 1 amp, has a capacitance of 1 farad.

Because the farad is a large unit, capacitors in electronic circuits almost always have fractional values: microfarads (μF), nanofarads (nF), and pi­ cofarads (pF). The Greek letter μ (mu) should be used in the μF abbreviation, but a lowercase let­ ter u is often substituted. Thus, for example, 10uF means the same as 10μF.

1F = 1,000,000μF, and 1μF = 1,000,000pF. There­

fore, 1 farad is equivalent to 1 trillion picofarads

—a very wide range of possible values. See Figure 12-16 and Figure 12-17 for charts showing equivalent values in different units.

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Figure 12-16. Equivalent values for picofards, nan of arads, and microfarads. The nF unit is used primarily in Europe.

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Figure 12-17. Equivalent values for microfarads and far- ads. Because the farad is such a large unit, electronic cir- cuits almost always use fractional values.

The nF unit is more common in Europe than in the United States. A 1nF capacitance is often ex­ pressed in the US as 0.001μF or 1,000pF. Similarly, a 10nF capacitance is almost always expressed as a 0.01μF, and a 0.1nF capacitance is more likely to be expressed as 100pF.

European schematics may use value-symbols as a substitute for decimal points. For example, a 4.7pF capacitor may be shown as 4p7, a 6.8nF capacitor may be shown as 6n8, and a 3.3μF ca­ pacitor may be shown as 3μ3.

Commonly Used Values

The traditional range of capacitor values was es­tablished on the same basis as the traditional range of resistor values, by assuming an accuracy of plus-or-minus 20% and choosing factors that would minimize the possible overlap between adjacent tolerance ranges. The factors 1.0, 1.5, 2.2, 3.3, 4.7, 6.8, and 10 satisfy this requirement. See Chapter 10 for a more detailed explanation, including a graphical representation of values and overlaps in Figure 10-8. While many resistors are now manufactured with high precision, 20%

tolerance is still common for electrolytic capaci­tors. Other types of capacitors are available with an accuracy of 10% or 5%, but are more expen­ sive.

While large-value capacitors are likely to have their actual value printed on them, smaller ca­ pacitors are identified by a variety of different codes. These codes are not standardized among manufacturers, and exist in various colors and abbreviations. Amultimeter that can measure capacitance is a quicker, easier, and more reliable method of determining the value of a compo­ nent than trying to interpret the codes.

In addition to capacitance, a large capacitor is likely to have its working voltage printed on it. Exceeding this value increases the risk of dam­ aging the dielectric. In the case of electrolytic ca­ pacitors, a voltage that is much lower than the rated value should also be avoided, because these capacitors require an electrical potential to maintain their performance.

In common electronics applications, values larg­ er than 4,700μF or smaller than 10pF are unusual.

Electrolytics are available at a moderate price in a wider range of values than other commonly used capacitors. They range from 1μF to 4,700μF and sometimes beyond. Working voltages typically range from 6.3VDC to 100VDC, but can be as high as 450VDC.

Tantalum capacitors are usually unavailable in sizes above 150μF or for voltages above 35VDC.

Single-layer ceramic capacitors have small val­ues ranging from 0.01μF to 0.22μF, with working voltages usually not exceeding 50VDC, although very small-value capacitors may be rated much higher for special applications. Poor tolerances of +80% to -20% are common.

Some variants of multi-layer ceramic capacitors are capable of storing up to 47μF, although 10μF is a more common upper limit. They are seldom rated above 100VDC. Some are accurate to plus- or-minus 5%.


Dielectric Constant

If A is the area of each plate in a capacitor (meas­ ured in square centimeters), and T is the thick­ ness of the dielectric (measured in centimeters), and K is the dielectric constant of the capacitor, the capacitance, C (measured in farads) will be obtained from the formula:

C = (0.0885 * K * A) / T

The dielectric constant of air is 1. Other dielectrics have different standard values. Polyethylene, for instance, has a constant of approximately 2.3. Thus a capacitor of 1 square centimeter plate area and polyethylene dielectric 0.01 centime­ ters thick would have a capacitance of about 20pF. A tantalum capacitor of equal plate area and dielectric thickness would have capacitance closer to 100pF, since the dielectric constant of tantalum oxide is much higher than that of poly­ ethylene.

The Time Constant

When a capacitor is charged in series through a resistor (it is used in an RC network), and it begins with no charge on its plates, the time constant is the time, in seconds, required to charge the ca­ pacitor to 63% of the supply voltage. After an additional, identical interval of time, the capaci­ tor will acquire 63% of the remaining difference between itself and the power supply. In theory the capacitor gets closer and closer to a full charge, but never quite reaches 100%. However, five time constants are sufficient for the capacitor to reach 99%, which is regarded as close enough to being fully charged for all practical purposes.

Refer to Figure 12-3 for a schematic of an RC net­ work.

The time constant is a simple function of the re­ sistance and the capacitance. If R is the value of the resistor (in ohms), and C is the value of the capacitor (in farads), the time constant, TC, will be obtained by the formula:

TC = R * C

If we multiply the R value by 1,000 while dividing the C value by 1,000, the time constant remains the same, and we can use the more convenient values of kilohms for the resistance and μF for the capacitance. In other words, the formula tells us that a 1K resistor in series with a 1,000μF capac­itor has a time constant of 1 second.

The formula suggests that if the value of R di­ minishes to zero, the capacitor will charge in­ stantly. In reality, the charging time will be rapid but finite, limited by factors such as the electrical resistance of the materials used.

Multiple Capacitors

When two or more capacitors are wired in parallel, their total capacitance is the sum of their sep­ arate capacitances. When two or more capacitors are wired in series, the relationship between their total capacitance © and their individual capaci­tances (C1, C2, C3 . . .) is given by this formula:

1 / C = (1/C1) + (1/C2) + (1/C3). . .

The formula to calculate the total capacitance of capacitors connected in series resembles the one used to calculate the total resistance of resistors connected in parallel. See Chapter 10.

Alternating Current and Capacitive Reactance

The apparent resistance of a capacitor to AC is properly known as capacitive reactance. In the following formula, capacitive reactance (XC, in ohms) is derived as a function of capacitance (C, in farads) and AC frequency (f, measured in hertz):

XC = 1 / (2 * π * f * C)

The formula shows that when frequency be­ comes zero, capacitive reactance becomes infin­ ite; in other words, a capacitor has theoretically infinite resistance when DC current tries to flow through it. In reality, a dielectric has a finite re­ sistance, and thus always allows some leakage.

The formula also shows that capacitive reactance diminishes when the size of the capacitor increa­

ses and/or the frequency being applied to it in­ creases. From this it appears that an AC signal will be attenuated less at higher frequencies, espe­ cially if we use a small capacitor. However, a real- world capacitor also exhibits some degree of in­ ductive reactance. This value will depend on its configuration (cylindrical vs. multiple flat plates), its physical length, the materials from which it is fabricated, the lengths of its leads, and other fac­ tors. Inductive reactance tends to increase with frequency, and since capacitive reactance tends to decrease with frequency, at some point the curves for the two functions intersect. This point represents the capacitor’s self-resonant frequen­ cy, which is often referred to simply as its resonant frequency. See Figure 12-18.

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Figure 12-18. As an AC current applied to a capacitor in- creases in frequency, the capacitive reactance of the com- ponent decreases, while its inductive reactance increases. The resonant frequency of the capacitor is found where the two functions intersect.

Equivalent Series Resistance

A theoretically ideal capacitor would be purely reactive, without any resistance. In reality, capac­ itors are not ideal, and they have equivalent series resistance, or ESR. This is defined as the resistor

that you would have to place in series with an ideal version of the capacitor, so that the combi­ nation would behave like the real version of the capacitor on its own.

If Xc is the reactance of the capacitor, then its Q factor (which means its quality factor) is given by the simple formula:

Q = Xc / ESR

Thus, the quality factor is higher if the ESR is rel­ atively low. However, the reactance of the capac­ itor will vary significantly with frequency, and this simple formula is only an approximate guide.

The Q-factor for capacitors should not be con­ fused with the Q-factor for inductors, which is calculated quite differently.

How to Use it

The figures illustrate some simplified schematics for common applications.

Bypass Capacitor

In Figure 12-19, a low-value capacitor (often 0.1μF) is placed near the power input pin of a sensitive digital chip to divert high-frequency spikes or noise to negative ground. This bypass capacitor may also be described as a decoupling capacitor.

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Figure 12-19. A bypass capacitor (typically 0.1μF) config- ured to protect an integrated circuit logic chip from volt- age spikes and noise in the power supply.


Coupling Capacitor

In Figure 12-20, a 1μF coupling capacitor trans­ mits a pulse from one section of a circuit to an­ other, while blocking the DC voltage. Some re­ shaping of the waveform may occur.

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Figure 12-20. A coupling capacitor (typically around 1μF) preserves DC isolation of one section of a circuit from an- other, while allowing a pulse to be transmitted.

High-Pass Filter

In Figure 12-21, a 0.1μF capacitor blocks the low- frequency component of a complex waveform and transmits only the higher frequency that was superimposed on the low frequency.

Low-Pass Filter

In Figure 12-22, a 0.1μF decoupling capacitor di­ verts the higher frequency component of a com­ plex waveform to negative ground, allowing only

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clip_image052Figure 12-21. A small capacitor (typically 0.1μF) can be used to create a high-pass filter, passing high frequencies while blocking low frequencies.

the lower frequency to be preserved. A lower- value capacitor (such as 0.001μF) will bleed away high-frequency noise from an AM radio source without affecting audio frequencies.

Smoothing Capacitor

In Figure 12-23, a 100μF capacitor charges and discharges to smooth an AC signal after a diode has removed the negative portion.

Snubber

In Figure 12-24, an RC network (inside a white dashed line) is known as a snubber when used to protect a switch from the problem of arcing (pro­ nounced “arking”)—that is, a sustained spark that can quickly erode the switch contacts. Arc­ ing may occur in switches, pushbuttons, or relays

Figure 12-22. A small capacitor (typically 0.1μF) in this configuration routes high frequencies to negative ground, filtering them out of an analog signal.

that control an inductive load, such as a large motor. This problem can become significant at high DC currents (10A or more) or relatively high AC or DC voltages (100V or more).

When the switch is opened, the magnetic field that has been sustained by the inductive load collapses, causing a surge of current, or forward EMF. The capacitor in the snubber absorbs this surge, thus protecting the switch contacts. When the switch is closed again, the capacitor dis­ charges itself, but the resistor limits the outrush of current—again, protecting the switch.

A snubber placed around the switch in a DC cir­ cuit could typically use a 0.1μF capacitor (poly­ propylene or polyester) rated for 125VAC/ 200VDC, and a 100-ohm carbon resistor rated 0.5

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clip_image056Figure 12-23. A capacitor of 100μF or more smooths the upper half of an AC signal that has passed through a di- ode. The capacitor charges during each positive pulse and discharges to “fill the gaps” between them.

watt or higher. Prepackaged snubbers contain­ ing appropriate capacitor-resistor pairs are avail­ able from some parts suppliers, primarily for in­ dustrial use.

In an AC circuit, a snubber can be placed around the inductive load itself. Although a diode is often used this way in a DC circuit, it cannot be used with AC.

Although solid-state switching devices such as a solid state relay contain no mechanical con­ tacts, they may still be damaged by substantial pulses of back-EMF, and can be protected by a snubber where they are controlling inductive loads that take 10A or more at 100V or more.

Figure 12-24. An RC network (outlined with a white dash- ed line) protects a switch that controls a high inductive load. Used in this way, the RC network is known as a snub- ber.

Capacitor as a Battery Substitute

A capacitor may be substituted for a battery for some applications, although it has a lower ener­ gy density and will be more expensive to manu­ facture. A capacitor charges and discharges much more rapidly than a battery because no chemical reactions are involved, but a battery sustains its voltage much more successfully dur­ ing the discharge cycle.

Capacitors that can store a very large amount of energy are often referred to as supercapacitors.

What Can Go Wrong

Common problems associated with capacitors are age-related deterioration (especially in elec­ trolytics), inductive reactance (especially in cy­ lindrical formats), nonlinear response, resistivity, excessive current leakage, and dielectric memo­ ry. Some of these problems are discussed below. A manufacturer’s datasheet should be consulted

carefully in conjunction with the notes regarding compositions in the preceding Variants section before making a commitment to a particular type of capacitor.

Wrong Polarity

A polarized capacitor may offer virtually no re­ sistance if it is connected the wrong way around to a DC power source. A very high current can result, damaging the capacitor and probably other components in the circuit. Failing to ob­ serve the polarity of a tantalum capacitor can have destructive or even explosive conse­ quences, depending on the amperage.

Voltage Overload

If the DC working voltage of a capacitor is excee­ ded, there is a risk of breaking down the dielectric and allowing a spark, or arc, that will form a short circuit. Note that the DC rating of a capacitor does not mean that it can be used safely with an equivalent AC voltage. The maximum AC voltage should be no greater than approximately 0.7 times the DC rated voltage. If a DC-rated capac­ itor is used directly across an AC power line, it will create an effective short circuit.

If capacitors are connected in series or in parallel, ideally the voltage rating for each capacitor should be the same, and certainly no less than the supply voltage.

Tantalum capacitors are easily damaged by cur­ rent spikes that exceed their maximum working voltage, and are unsuitable for high-frequency coupling because of their inductance.

Leakage

Charge leakage is a problem especially associ­ ated with electrolytic capacitors, which are not suitable for storing a charge over a significant in­ terval. Polypropalene or polystyrene film capac­ itors are a better choice.

Dielectric Memory

Also known as dielectric absorption, this is a phe­ nomenon in which a capacitor’s electrolyte dis­

plays some percentage of its former voltage after the capacitor has been discharged and then dis­ connected from the circuit. Single-layer ceramic capacitors especially tend to suffer from this problem.

Specific Electrolytic Issues Electrolytic capacitors have high inductive reac­ tance, are not manufactured to close tolerances, and deteriorate significantly with age. While oth­

er components may be stockpiled and used over

a period of years, this is not a sensible policy with electrolytics.

The “capacitor plague” affecting many of these capacitors manufactured from 1999 onward pro­ vided a salutary lesson regarding their potential weaknesses. Faulty composition of the dielectric allowed it to deteriorate, liberating hydrogen gas, which eventually caused the aluminum shells of the capacitors to bulge and burst. Circuit boards from major manufacturers were affected. Because the problem took two years to become apparent, literally millions of boards with faulty capacitors had been sold before the fault was di­ agnosed and eventually corrected.

Unfortunately electrolytics cannot be easily re­ placed with other types of capacitors in applica­ tions such as power supplies, because substi­ tutes will be considerably larger and more ex­ pensive.

Heat

The equivalent series resistance (ESR) of a large capacitor inevitably means that it must dissipate some power as heat during use. Ripple current can also create heat. Capacitor performance will change as the temperature increases. A common maximum component temperature for electro­ lytic capacitors is 85 degrees Centigrade.

Vibration

In a high-vibration environment, electrolytics should be protected by clamping them mechan­ ically in place, using a capacitor clamp, also known as a c-clamp.

clip_image009[6]110 Encyclopedia of Electronic Components Volume 1

power > moderation > capacitor What Can Go Wrong

Misleading Nomenclature

Rarely, in the United States, the term “mF” may be used as a probable alternative to μF. This can be a source of confusion and risk because mF is properly (but very rarely) used to mean “millifar­ ads.” The term should always be avoided.

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capacitor What It Does,How It Works,Variants,Values,How to Use it,What Can Go Wrong

Quite often referred to as a cap. Formerly known (primarily in the United Kingdom) as a

condenser, but that term has become obsolete.

What It Does

A capacitor connected across a DC power source will accumulate a charge, which then persists af­ter the source is disconnected. In this way, the capacitor stores (and can then discharge) energy like a small rechargeable battery. The charge/ discharge rate is extremely fast but can be limited by a series resistor, which enables the capacitor to be used as a timing component in many elec­ tronic circuits.

A capacitor can also be used to block DC current while it passes pulses, or electrical “noise,” or al­ternating current, or audio signals, or other wave forms. This capability enables it to smooth the output voltage provided by power supplies; to remove spikes from signals that would otherwise tend to cause spurious triggering of components in digital circuits; to adjust the frequency re­ sponse of an audio circuit; or to couple separate components or circuit elements that must be protected from transmission of DC current.

Schematic symbols for capacitors are shown in Figure 12-1. At top-left is anonpolarized capaci­tor, while the other two indicate that a polarized capacitor must be used, and must be oriented as shown. The variant at the bottom is most com­monly used in Europe. Confusingly, the nonpo­larized symbol may also be used to identify a po­

larized capacitor, if a + sign is added. The polar­ized symbols are sometimes printed without + signs, but the symbols still indicate that polarity must be observed.

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Figure 12-1. Schematic symbols for polarized and non polarized capacitors. See text for details.

How It Works

In its simplest form, a capacitor consists of two plates, each with a lead attached to it for con­nection with a DC power source. The plates are separated by a thin, insulating layer known as the dielectric, which is usually a solid or a paste but may be liquid, gel, gaseous, or vacuum.

The plates in most capacitors are made from thin metal film or metallized plastic film. To minimize the size of the component, the film may be rolled up to form a compact cylindrical package, or multiple flat sections may be interleaved.

Electrons from the power source will migrate on­ to the plate attached to the negative side of the source, and will tend to repel electrons from the other plate. This may be thought of as creating electron holes in the other plate or as attracting positive charges, as shown in Figure 12-2. When the capacitor is disconnected from the power source, the opposite charges on its plates will persist in equilibrium as a result of their mutual attraction, although the voltage will gradually dissipate as a result of leakage, either through the dielectric or via other pathways.

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Figure 12-2. Because the plates of a capacitor are electri- cally conductive, they will become populated with positive and negative charges when connected with a DC power source. As opposite charges attract each other, they will tend to congregate on either side of the dielectric, which is an insulating layer. The battery symbol is shown here colored for clarity.

When a resistor is placed across the leads of a charged capacitor, the capacitor will discharge

itself through the resistor at a rate limited by the resistance. Conversely, if a capacitor is charged through a resistor, the resistor will limit the charg­ing rate.

A resistor in series with a capacitor is known as an RC network (Resistor-Capacitor network). In Figure 12-3, an RC circuit is shown with a SPDT switch that charges or discharges the capacitor via a series resistor. The voltage at point A in­ creases nonlinearly (relative to the negative side of the power supply) while the capacitor is charging, and decreases nonlinearly while the capaci­ tor is discharging, as suggested by the graphs. At any moment, the time that the capacitor takes to acquire 63% of the difference between its current charge and the voltage being supplied to it is known as the time constant for the circuit. See “The Time Constant” (page 105) for additional in­ formation.

When a capacitor is connected across an AC volt­ age source, each surge of electrons to one plate induces an equal and opposite positive surge to the other plate, and when polarity of the power supply reverses, the charges on the plates switch places. These surges may make it seem that the capacitor is conducting AC current, even though the dielectric that separates the plates is an in­ sulator. See Figure 12-4. Often a capacitor is said to “pass” AC, even though this is not really hap­pening. For convenience, and because the con­cept is widely established, this encyclopedia refers to capacitors as “passing” AC.

Depending on the size of the capacitor, it will block some AC frequencies while passing others. Generally speaking, a smaller capacitor will pass high frequencies relatively efficiently, as each lit­ tle surge of current fills each plate. However, the situation is complicated by the inductive reac­tance (which creates the effective series resist­ ance) of a capacitor, as discussed below. See “Al­ ternating Current and Capacitive Reactance” (page 106).

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Figure 12-3. An RC (Resistor-Capacitor) network with a switch to control charge and discharge of a capacitor. At top, the curve gives an approximate idea of the charging behavior of the capacitor. At bottom, the curve illustrates its discharging behavior.

Variants
Format

The three most common packages for capacitors are cylindrical, disc, and rectangular tablet.

A cylindrical capacitor may have axial leads (a wire attached to each end) or radial leads (both wires emerging from one end). Radial capacitors are

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Figure 12-4. In the left diagram, a source of alternating current charges the upper plate of a capacitor positively and the lower plate negatively. This process entails a flow of conventional current shown by the arrows. A moment later, when the AC current flow reverses, the flow also re- verses, creating the impression that the capacitor “pass- es” AC current.

more widely used as they allow easy insertion into a circuit board. The capacitor is usually pack­ aged in a small aluminum can, closed at one end, capped with an insulating disc at the other end, and wrapped in a thin layer of insulating plastic. Some samples are shown in Figure 12-5 and Figure 12-6.

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Figure 12-5. Cylindrical capacitors with radial leads. All are electrolytic.

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Figure 12-6. Cylindrical capacitors with radial leads (top and bottom) and axial leads (center). All are electrolytic.

A disc capacitor (sometimes referred to as a but­ ton capacitor) is usually encased in an insulating ceramic compound, and has radial leads. Modern small-value ceramic capacitors are more likely to be dipped in epoxy, or to be square tablets. Some samples are shown in Figure 12-7.

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Figure 12-7. Generic ceramic capacitors. Left: rated for 0.1μF at 50V. Center: 1μF at 50V. Right: 1μF at 50V.

A surface-mount capacitor is square or rectangu­ lar, usually a few millimeters in each dimension, with two conductive pads or contacts at oppo­ site ends. It appears almost identical to a surface- mount resistor. Larger-value capacitors are inevi­ tably bigger but can still be designed for surface- mount applications. See Figure 12-8.

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Figure 12-8. Most surface-mount capacitors are as tiny as other surface-mount components, but this 4,700μF electrolytic (at 10V) has a base approximately 0.6” square. A solder tab is visible at the center of the nearest edge.

Many capacitors are non polarized, meaning that they are insensitive to polarity. However, elec­trolytic and tantalum capacitors must be con­nected “the right way around” to any DC voltage source. If one lead is longer than the other, it must be the “more positive” lead. A mark or band at one end of the capacitor indicates the “more negative” end. Tantalum capacitors are likely to indicate the positive lead by using a + sign on the body of the component.

An arrow printed on the side of a capacitor usu­ ally points to the “more negative” terminal. In an aluminum can with axial leads, the lead at one end will have an insulating disc around it while the other lead will be integral with the rounded end of the can. The wire at the insulated end must be “more positive” than the wire at the other end.

A capacitor array contains two or more capacitors that are isolated from each other internally and accessed by external contacts. They are sold in surface-mount format and also in through-hole chips of DIP (dual-inline package) or SIP (single- inline package) format. The internal components may be connected in one of three configurations: isolated, common-bus, or dual-ended common bus. Technically the isolated configuration should be referred to as a capacitor array, but in practice, all three configurations are usually re­ ferred to as capacitor networks. See Figure 12-9 and Figure 12-10.

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Figure 12-9. A capacitor network most often consists of a single-inline package (SIP) chip containing multiple capacitors in one of three configurations shown here. Top: Isolated. Center: Common bus. Bottom: Dual-ended common bus. Individual capacitor values ranging from 0.001μF to 0.1μF are common.

Capacitor networks can reduce the component count in circuits where digital logic chips require bypass capacitors. They are comparable in con­ cept to resistor arrays.

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Figure 12-10. A capacitor array in through-hole, SIP for- mat.

Chips containing RC circuits (multiple resistor- capacitor pairs) are available, although uncom­mon.

Principal Types

Electrolytic capacitors are relatively cheap, com­ pact, and available in large values. These at­ tributes have made them a popular choice in consumer electronics, especially for power sup­ plies. The capacitive capability of an electrolytic is refreshed by periodic application of voltage. A moist paste inside the capacitor is intended to improve the dielectric performance when volt­ age is applied, but can dry out during a period of years. If an electrolytic is stored for 10 years or so, it may allow a short circuit between its leads when power is applied to it. The capacitors in Figure 12-5 and Figure 12-6 are all electrolytic. The capacitor in Figure 12-11 is at the high end of the scale.

A bipolar electrolytic is a single package contain­ing two electrolytic capacitors in series, end-to- end, with opposed polarities, so that the combi­ nation can be used where the voltage of a signal fluctuates above and below 0VDC. See Figure 12-12 and Figure 12-13. This type of com­ ponent is likely to have “BP” (bipolar) or “NP”

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Figure 12-11. This 13,000μF electrolytic capacitor is larg- er than would be required in most everyday applications.

(nonpolarized) printed on its shell. It may be used in audio circuits where polarized capacitors are normally unsuitable, and is likely to be cheaper than non-electrolytic alternatives. However, it suffers from the same weaknesses as all electro­ lytics.

Tantalum capacitors are compact but relatively expensive, and can be vulnerable to voltage spikes. They are sensitive to application of the wrong polarity. Typically they are epoxy-dipped rather than mounted inside a small aluminum can like electrolytics, and consequently the elec­trolyte may be less likely to evaporate and dry out. In Figure 12-14, two tantalum capacitors (rated 330μF at 6.3V, left, and 100μF at 20V, right) are shown above a polyester film capacitor (rated

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Figure 12-12. Schematic view of the internal configura- tion of a bipolar electrolytic capacitor, also known as non- polarized electrolytic capacitor. It consists of two electro- lytics in series, with opposing polarities.

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Figure 12-13. Bipolar electrolytic capacitors. The larger size of the one at top-left is a consequence of its higher voltage rating. “BP” on the other two capacitors is an ac- ronym for “bipolar,” meaning that they have no polarity, even though one lead may be shorter than the other.

10μF at 100V). Surface-mount tantalum capaci­ tors are decreasing in popularity as large-value ceramic capacitors are becoming available, with smaller dimensions and lower equivalent series resistance.

Plastic-film capacitors are discussed in the fol­ lowing section.

Single-layer ceramic capacitors are often used for bypass, and are suitable for high-frequency or audio applications. Their value is not very stable with temperature, although the “NPO” variants are more stable. Multilayer ceramic capacitors are more compact than single-layer ceramic, and

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Figure 12-14. Two tantalum capacitors are shown above a polyester film capacitor. The polarity of the tantalum capacitors is indicated by the plus signs adjacent to the longer lead, in each case. The polyester capacitor is non- polarized.

consequently are becoming increasingly popu­lar. Three multilayer ceramic capacitors are shown in Figure 12-15. At bottom-right, even the largest (rated at 47μF at 16V) is only 0.2” square.

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Figure 12-15. Multilayer ceramic capacitors are extremely compact, and are non polarized. Top: 1,000pF (i.e. 1nF) at 100V. Bottom left: 1μF at 25V. Bottom right: 47μF at 16V.


Dielectrics

The dielectric used in a capacitor most often con­sists of an electrolytic layer, a ceramic compound, a plastic film (polycarbonate, polypropylene, or polystyrene), or paper.

An electrolytic layer in an electrolytic capacitor traditionally consists of paper soaked in an elec­trolyte. It is interleaved with a thin film of alumi­ num on which is deposited a layer of aluminum oxide. The layers are rolled up to create a cylin­drical component. The functioning dielectric is created when voltage is applied.

Polyester

This is the most common type of plastic film, with the highest dielectric constant, ena­bling highest capacitance per unit volume. Widely used in DC applications, but the rol­ led layers create parasitic inductance. Often used in decoupling, coupling, and bypass, but not so suitable for situations requiring stability and low leakage. May not be suit­ able for high current.

Polycarbonate

Thermally very stable, often specified for fil­ ters and timing circuits that require a fixed frequency. An excellent type of capacitor, compatible for mil-spec applications, but ex­ pensive.

Mylar, Polyester, and other plastic-film types are often used in audio circuits, where their voltage limitation (typically less than 100VDC) is not a problem, and their nonpolarized attribute is an advantage.

Polypropylene

Vulnerable to heat (a maximum of 85 de­grees Centigrade is common), and less ther­mally stable than polycarbonate. A very low power dissipation factor allows it to handle higher power at higher frequencies. Avail­ able with tolerances down to 1%. These ca­pacitors are a popular choice in crossover

networks for loudspeaker combinations, and are used in switching power supplies. They tend to be physically larger than other capacitors using film dielectric.

Values
Farads

The electrical storage capacity of a capacitor is measured in farads, universally represented by the letter F. A capacitor that can be charged with a potential difference between its plates of 1 volt, in a time of 1 second, during which it draws 1 amp, has a capacitance of 1 farad.

Because the farad is a large unit, capacitors in electronic circuits almost always have fractional values: microfarads (μF), nanofarads (nF), and pi­ cofarads (pF). The Greek letter μ (mu) should be used in the μF abbreviation, but a lowercase let­ ter u is often substituted. Thus, for example, 10uF means the same as 10μF.

1F = 1,000,000μF, and 1μF = 1,000,000pF. There­

fore, 1 farad is equivalent to 1 trillion picofarads

—a very wide range of possible values. See Figure 12-16 and Figure 12-17 for charts showing equivalent values in different units.

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Figure 12-16. Equivalent values for picofards, nan of arads, and microfarads. The nF unit is used primarily in Europe.

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Figure 12-17. Equivalent values for microfarads and far- ads. Because the farad is such a large unit, electronic cir- cuits almost always use fractional values.

The nF unit is more common in Europe than in the United States. A 1nF capacitance is often ex­ pressed in the US as 0.001μF or 1,000pF. Similarly, a 10nF capacitance is almost always expressed as a 0.01μF, and a 0.1nF capacitance is more likely to be expressed as 100pF.

European schematics may use value-symbols as a substitute for decimal points. For example, a 4.7pF capacitor may be shown as 4p7, a 6.8nF capacitor may be shown as 6n8, and a 3.3μF ca­ pacitor may be shown as 3μ3.

Commonly Used Values

The traditional range of capacitor values was es­tablished on the same basis as the traditional range of resistor values, by assuming an accuracy of plus-or-minus 20% and choosing factors that would minimize the possible overlap between adjacent tolerance ranges. The factors 1.0, 1.5, 2.2, 3.3, 4.7, 6.8, and 10 satisfy this requirement. See Chapter 10 for a more detailed explanation, including a graphical representation of values and overlaps in Figure 10-8. While many resistors are now manufactured with high precision, 20%

tolerance is still common for electrolytic capaci­tors. Other types of capacitors are available with an accuracy of 10% or 5%, but are more expen­ sive.

While large-value capacitors are likely to have their actual value printed on them, smaller ca­ pacitors are identified by a variety of different codes. These codes are not standardized among manufacturers, and exist in various colors and abbreviations. Amultimeter that can measure capacitance is a quicker, easier, and more reliable method of determining the value of a compo­ nent than trying to interpret the codes.

In addition to capacitance, a large capacitor is likely to have its working voltage printed on it. Exceeding this value increases the risk of dam­ aging the dielectric. In the case of electrolytic ca­ pacitors, a voltage that is much lower than the rated value should also be avoided, because these capacitors require an electrical potential to maintain their performance.

In common electronics applications, values larg­ er than 4,700μF or smaller than 10pF are unusual.

Electrolytics are available at a moderate price in a wider range of values than other commonly used capacitors. They range from 1μF to 4,700μF and sometimes beyond. Working voltages typically range from 6.3VDC to 100VDC, but can be as high as 450VDC.

Tantalum capacitors are usually unavailable in sizes above 150μF or for voltages above 35VDC.

Single-layer ceramic capacitors have small val­ues ranging from 0.01μF to 0.22μF, with working voltages usually not exceeding 50VDC, although very small-value capacitors may be rated much higher for special applications. Poor tolerances of +80% to -20% are common.

Some variants of multi-layer ceramic capacitors are capable of storing up to 47μF, although 10μF is a more common upper limit. They are seldom rated above 100VDC. Some are accurate to plus- or-minus 5%.


Dielectric Constant

If A is the area of each plate in a capacitor (meas­ ured in square centimeters), and T is the thick­ ness of the dielectric (measured in centimeters), and K is the dielectric constant of the capacitor, the capacitance, C (measured in farads) will be obtained from the formula:

C = (0.0885 * K * A) / T

The dielectric constant of air is 1. Other dielectrics have different standard values. Polyethylene, for instance, has a constant of approximately 2.3. Thus a capacitor of 1 square centimeter plate area and polyethylene dielectric 0.01 centime­ ters thick would have a capacitance of about 20pF. A tantalum capacitor of equal plate area and dielectric thickness would have capacitance closer to 100pF, since the dielectric constant of tantalum oxide is much higher than that of poly­ ethylene.

The Time Constant

When a capacitor is charged in series through a resistor (it is used in an RC network), and it begins with no charge on its plates, the time constant is the time, in seconds, required to charge the ca­ pacitor to 63% of the supply voltage. After an additional, identical interval of time, the capaci­ tor will acquire 63% of the remaining difference between itself and the power supply. In theory the capacitor gets closer and closer to a full charge, but never quite reaches 100%. However, five time constants are sufficient for the capacitor to reach 99%, which is regarded as close enough to being fully charged for all practical purposes.

Refer to Figure 12-3 for a schematic of an RC net­ work.

The time constant is a simple function of the re­ sistance and the capacitance. If R is the value of the resistor (in ohms), and C is the value of the capacitor (in farads), the time constant, TC, will be obtained by the formula:

TC = R * C

If we multiply the R value by 1,000 while dividing the C value by 1,000, the time constant remains the same, and we can use the more convenient values of kilohms for the resistance and μF for the capacitance. In other words, the formula tells us that a 1K resistor in series with a 1,000μF capac­itor has a time constant of 1 second.

The formula suggests that if the value of R di­ minishes to zero, the capacitor will charge in­ stantly. In reality, the charging time will be rapid but finite, limited by factors such as the electrical resistance of the materials used.

Multiple Capacitors

When two or more capacitors are wired in parallel, their total capacitance is the sum of their sep­ arate capacitances. When two or more capacitors are wired in series, the relationship between their total capacitance © and their individual capaci­tances (C1, C2, C3 . . .) is given by this formula:

1 / C = (1/C1) + (1/C2) + (1/C3). . .

The formula to calculate the total capacitance of capacitors connected in series resembles the one used to calculate the total resistance of resistors connected in parallel. See Chapter 10.

Alternating Current and Capacitive Reactance

The apparent resistance of a capacitor to AC is properly known as capacitive reactance. In the following formula, capacitive reactance (XC, in ohms) is derived as a function of capacitance (C, in farads) and AC frequency (f, measured in hertz):

XC = 1 / (2 * π * f * C)

The formula shows that when frequency be­ comes zero, capacitive reactance becomes infin­ ite; in other words, a capacitor has theoretically infinite resistance when DC current tries to flow through it. In reality, a dielectric has a finite re­ sistance, and thus always allows some leakage.

The formula also shows that capacitive reactance diminishes when the size of the capacitor increa­

ses and/or the frequency being applied to it in­ creases. From this it appears that an AC signal will be attenuated less at higher frequencies, espe­ cially if we use a small capacitor. However, a real- world capacitor also exhibits some degree of in­ ductive reactance. This value will depend on its configuration (cylindrical vs. multiple flat plates), its physical length, the materials from which it is fabricated, the lengths of its leads, and other fac­ tors. Inductive reactance tends to increase with frequency, and since capacitive reactance tends to decrease with frequency, at some point the curves for the two functions intersect. This point represents the capacitor’s self-resonant frequen­ cy, which is often referred to simply as its resonant frequency. See Figure 12-18.

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Figure 12-18. As an AC current applied to a capacitor in- creases in frequency, the capacitive reactance of the com- ponent decreases, while its inductive reactance increases. The resonant frequency of the capacitor is found where the two functions intersect.

Equivalent Series Resistance

A theoretically ideal capacitor would be purely reactive, without any resistance. In reality, capac­ itors are not ideal, and they have equivalent series resistance, or ESR. This is defined as the resistor

that you would have to place in series with an ideal version of the capacitor, so that the combi­ nation would behave like the real version of the capacitor on its own.

If Xc is the reactance of the capacitor, then its Q factor (which means its quality factor) is given by the simple formula:

Q = Xc / ESR

Thus, the quality factor is higher if the ESR is rel­ atively low. However, the reactance of the capac­ itor will vary significantly with frequency, and this simple formula is only an approximate guide.

The Q-factor for capacitors should not be con­ fused with the Q-factor for inductors, which is calculated quite differently.

How to Use it

The figures illustrate some simplified schematics for common applications.

Bypass Capacitor

In Figure 12-19, a low-value capacitor (often 0.1μF) is placed near the power input pin of a sensitive digital chip to divert high-frequency spikes or noise to negative ground. This bypass capacitor may also be described as a decoupling capacitor.

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Figure 12-19. A bypass capacitor (typically 0.1μF) config- ured to protect an integrated circuit logic chip from volt- age spikes and noise in the power supply.


Coupling Capacitor

In Figure 12-20, a 1μF coupling capacitor trans­ mits a pulse from one section of a circuit to an­ other, while blocking the DC voltage. Some re­ shaping of the waveform may occur.

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Figure 12-20. A coupling capacitor (typically around 1μF) preserves DC isolation of one section of a circuit from an- other, while allowing a pulse to be transmitted.

High-Pass Filter

In Figure 12-21, a 0.1μF capacitor blocks the low- frequency component of a complex waveform and transmits only the higher frequency that was superimposed on the low frequency.

Low-Pass Filter

In Figure 12-22, a 0.1μF decoupling capacitor di­ verts the higher frequency component of a com­ plex waveform to negative ground, allowing only

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clip_image052Figure 12-21. A small capacitor (typically 0.1μF) can be used to create a high-pass filter, passing high frequencies while blocking low frequencies.

the lower frequency to be preserved. A lower- value capacitor (such as 0.001μF) will bleed away high-frequency noise from an AM radio source without affecting audio frequencies.

Smoothing Capacitor

In Figure 12-23, a 100μF capacitor charges and discharges to smooth an AC signal after a diode has removed the negative portion.

Snubber

In Figure 12-24, an RC network (inside a white dashed line) is known as a snubber when used to protect a switch from the problem of arcing (pro­ nounced “arking”)—that is, a sustained spark that can quickly erode the switch contacts. Arc­ ing may occur in switches, pushbuttons, or relays

Figure 12-22. A small capacitor (typically 0.1μF) in this configuration routes high frequencies to negative ground, filtering them out of an analog signal.

that control an inductive load, such as a large motor. This problem can become significant at high DC currents (10A or more) or relatively high AC or DC voltages (100V or more).

When the switch is opened, the magnetic field that has been sustained by the inductive load collapses, causing a surge of current, or forward EMF. The capacitor in the snubber absorbs this surge, thus protecting the switch contacts. When the switch is closed again, the capacitor dis­ charges itself, but the resistor limits the outrush of current—again, protecting the switch.

A snubber placed around the switch in a DC cir­ cuit could typically use a 0.1μF capacitor (poly­ propylene or polyester) rated for 125VAC/ 200VDC, and a 100-ohm carbon resistor rated 0.5

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clip_image056Figure 12-23. A capacitor of 100μF or more smooths the upper half of an AC signal that has passed through a di- ode. The capacitor charges during each positive pulse and discharges to “fill the gaps” between them.

watt or higher. Prepackaged snubbers contain­ ing appropriate capacitor-resistor pairs are avail­ able from some parts suppliers, primarily for in­ dustrial use.

In an AC circuit, a snubber can be placed around the inductive load itself. Although a diode is often used this way in a DC circuit, it cannot be used with AC.

Although solid-state switching devices such as a solid state relay contain no mechanical con­ tacts, they may still be damaged by substantial pulses of back-EMF, and can be protected by a snubber where they are controlling inductive loads that take 10A or more at 100V or more.

Figure 12-24. An RC network (outlined with a white dash- ed line) protects a switch that controls a high inductive load. Used in this way, the RC network is known as a snub- ber.

Capacitor as a Battery Substitute

A capacitor may be substituted for a battery for some applications, although it has a lower ener­ gy density and will be more expensive to manu­ facture. A capacitor charges and discharges much more rapidly than a battery because no chemical reactions are involved, but a battery sustains its voltage much more successfully dur­ ing the discharge cycle.

Capacitors that can store a very large amount of energy are often referred to as supercapacitors.

What Can Go Wrong

Common problems associated with capacitors are age-related deterioration (especially in elec­ trolytics), inductive reactance (especially in cy­ lindrical formats), nonlinear response, resistivity, excessive current leakage, and dielectric memo­ ry. Some of these problems are discussed below. A manufacturer’s datasheet should be consulted

carefully in conjunction with the notes regarding compositions in the preceding Variants section before making a commitment to a particular type of capacitor.

Wrong Polarity

A polarized capacitor may offer virtually no re­ sistance if it is connected the wrong way around to a DC power source. A very high current can result, damaging the capacitor and probably other components in the circuit. Failing to ob­ serve the polarity of a tantalum capacitor can have destructive or even explosive conse­ quences, depending on the amperage.

Voltage Overload

If the DC working voltage of a capacitor is excee­ ded, there is a risk of breaking down the dielectric and allowing a spark, or arc, that will form a short circuit. Note that the DC rating of a capacitor does not mean that it can be used safely with an equivalent AC voltage. The maximum AC voltage should be no greater than approximately 0.7 times the DC rated voltage. If a DC-rated capac­ itor is used directly across an AC power line, it will create an effective short circuit.

If capacitors are connected in series or in parallel, ideally the voltage rating for each capacitor should be the same, and certainly no less than the supply voltage.

Tantalum capacitors are easily damaged by cur­ rent spikes that exceed their maximum working voltage, and are unsuitable for high-frequency coupling because of their inductance.

Leakage

Charge leakage is a problem especially associ­ ated with electrolytic capacitors, which are not suitable for storing a charge over a significant in­ terval. Polypropalene or polystyrene film capac­ itors are a better choice.

Dielectric Memory

Also known as dielectric absorption, this is a phe­ nomenon in which a capacitor’s electrolyte dis­

plays some percentage of its former voltage after the capacitor has been discharged and then dis­ connected from the circuit. Single-layer ceramic capacitors especially tend to suffer from this problem.

Specific Electrolytic Issues Electrolytic capacitors have high inductive reac­ tance, are not manufactured to close tolerances, and deteriorate significantly with age. While oth­

er components may be stockpiled and used over

a period of years, this is not a sensible policy with electrolytics.

The “capacitor plague” affecting many of these capacitors manufactured from 1999 onward pro­ vided a salutary lesson regarding their potential weaknesses. Faulty composition of the dielectric allowed it to deteriorate, liberating hydrogen gas, which eventually caused the aluminum shells of the capacitors to bulge and burst. Circuit boards from major manufacturers were affected. Because the problem took two years to become apparent, literally millions of boards with faulty capacitors had been sold before the fault was di­ agnosed and eventually corrected.

Unfortunately electrolytics cannot be easily re­ placed with other types of capacitors in applica­ tions such as power supplies, because substi­ tutes will be considerably larger and more ex­ pensive.

Heat

The equivalent series resistance (ESR) of a large capacitor inevitably means that it must dissipate some power as heat during use. Ripple current can also create heat. Capacitor performance will change as the temperature increases. A common maximum component temperature for electro­ lytic capacitors is 85 degrees Centigrade.

Vibration

In a high-vibration environment, electrolytics should be protected by clamping them mechan­ ically in place, using a capacitor clamp, also known as a c-clamp.

clip_image009[6]110 Encyclopedia of Electronic Components Volume 1

power > moderation > capacitor What Can Go Wrong

Misleading Nomenclature

Rarely, in the United States, the term “mF” may be used as a probable alternative to μF. This can be a source of confusion and risk because mF is properly (but very rarely) used to mean “millifar­ ads.” The term should always be avoided.

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