Capacitors Flashcards

1
Q

Why are my questions not a good idea for anyone else?

A

I’ve merely paraphrased sentences that caught my eye (without bothering to rank them by hierarchy) from the Navy book on Basic Electricity, a very old edition of Basic Electricity by Herman, etc. Plus, I am doing this quickly and there’s no check on accuracy.

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2
Q

What are the dangers of charging a capacitor to a high voltage and handing it to someone as a joke?

A

This is an extremely dangerous practice since capacitors have the ability to supply an almost infinite amount of current and under some circumstances can have enough energy to cause a person’s heart to go into fibrillation.

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3
Q

What are the three factors that determine capacitance?

A
  1. Surface area of the plates
  2. Distance between the plates
  3. Type of dielectric
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4
Q

With a DC battery source, how long do electrons move from the positive plate to the negative plate?

A

Until a voltage equal to the battery voltage is established across the plates, and the cap is now charged.

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5
Q

What is the device in electrical circuits used to store a charge?

A

The capacitor.

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6
Q

Bound electrons in the air or dielectric between capacitor plates move in what direction in their orbits?

A

They are attracted toward the positive surface and repelled by the negative. In other words, if there is a difference in charge across the plates, the orbits will be elongated in the direction of the positive charge.

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7
Q

Where is the energy stored in a capacitor?

A

In the field between the plates, where the energy required to distort the orbits can be recovered when the electon orbits are permitted to return to normal, analogous to a spring.

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8
Q

What is the material between the capacitor plates called?

A

The dielectric.

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9
Q

What is the significance of the area of the plates relative to the attached conductors?

A

The cross-sectional area of the plates is tremendously large in comparison to the conductors’ area, which means there is an abundance of free electrons available in each plate.

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10
Q

What happens if the difference in charge between a capacitor’s plates becomes extremely large?

A

It may cause ionization of the insulating material and cause bound electrons to be freed, which places a limit on the amount of charge that can be stored in the capacitor.

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11
Q

What limit is there on the amount of charge that can be stored on a capacitor?

A

The limit is a charge so great that it causes ionization of the dielectric and the freeing of bound electrons.

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12
Q

Where does the name “capacitor” come from?

A

It comes from the idea that there is a definite quantity of electrons to fill up, or charge, a capacitor. Hence, it is said to have a capacity.

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13
Q

What is the “dielectric constant” and what do the numbers indicate?

A

This is a rating of an insulator or dielectric’s ability to support electric flux. The higher the number, the better dielectric.

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14
Q

What is the standard of reference for a dielectric material and what is the dielectric constant for air?

A

The standard is a vacuum, which has a dielectric constant of 1.0000, while the constant of air is 1.0006 but considered to be 1.

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15
Q

What is the formula used to compute the value of capacitance?

A

C = 0.2249 (KA/d), where 0.2249 is a conversion factor from metric to to British; K the dielectric constant (say, 3.5 for parafin paper); A the area of one plate in square inches; and d the distance between the plates in inches. C is capacitance in picofarads (10^-12).

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16
Q

What is a “farad” and what is its basic formula?

A

Capacitance is equal to 1 farad when a voltage charging at the rate of 1 volt/second causes a charging current of 1 amp to flow.
C = i/(delta e/delta t), where i is the instantaneous current in amps and the numerator is the rate of change of voltage in volts with time in seconds; ie; 1 amp flows when voltage changes 1 volt each second.

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17
Q

What else can the farad be defined in terms of?

A

Charge and voltage.

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18
Q

When a capacitor has a charge of 1 farad, what will it store in charge when connected across a potential of 1 volt and how is this relationship expressed mathematically?

A

1 Coulomb of charge. C = Q/E, where Q is in coulombs and E applied voltage in volts. For example, given Q = 0.001 coulomb and E = 200 volts, C = (10 x 10^-4)/(2 x 10^2), = 0.000005 farads, or five millionths of a farad.

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19
Q

If the capacitor is composed of more than two plates, how is the capacitance calculated?

A

The capacitance is calculated by multiplying the basic formula,
C = 0.225(KA/d) by N-1, where N is the number of plates.

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20
Q

In multi-plate construction, how are the plates arranged?

A

Interlaced, as in Fig 11-4, p. 192.

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21
Q

What happens if the voltage applied across the plates is too great?

A

The dielectric will break down and arcing will occur between the plates. The capacitor is then short-circuited and the possible flow of direct current through it can damage other parts of the equipment.

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22
Q

What is the working voltage of a capacitor and what limits it?

A

The maximum voltage that can be steadily applied without danger of causing an arc-over.

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23
Q

What does the working voltage rating of capacitor depend on?

A

(1) the type of material used as the dielectric; (2) the thickness of the dielectric; and (3) frequency because the losses and resultant heating effect increase as the frequency increases.

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24
Q

Why can’t a DC cap with a 500 volt rating be used with 500 volts AC or pulsating DC voltages?

A

An r.m.s. 500 volts AC has a peak voltage of 707 volts, and a cap used should have a rating of at least 775 volts.

25
Q

What margin of safety should be observed in selecting a cap’s voltage rating?

A

It should be at least 50% greater than highest voltage to be applied to it.

26
Q

What is capacitance?

A

Capacitance is defined as the property of an electrical device that tends to oppose a change in voltage. It’s also the ability of a device to store a charge.

27
Q

Name two types of variable capacitors and describe how they work.

A

Rotor-stator type of two sets of plates arranged so the rotor plates move between the stator plates with air as the dielectric; these are used for tuning old radio. Trimmer capacitor consisting of two plates separated by a sheet of mica with a screw adjustment to change the distance between the plates.

28
Q

What is the initial state of a capacitor?

A

Each plate is a neutral body, and until a difference in potential is impressed across the capacitor, no electrostatic field can exist between the plates.

29
Q

What happens at the instant voltage is applied from the source?

A

A displacement of electrons will occur simultaneously in all parts of the circuit, directed away from the negative terminal of the source.

30
Q

What will an ammeter connected in series with the source indicate as power is applied?

A

A brief surge in current as the capacitor charges.

31
Q

What effect does the polarity of the voltage building across the capacitor have?

A

It opposes the source voltage.

32
Q

What effect does charging have on current?

A

The emf developed across the capacitor has a tendency to force the current in the opposite direction.

33
Q

What does the charging process appear as to an observer at the source or along one of the conductors?

A

It has all the appearance of a true flow of current even though the insulator prevents a complete path.

34
Q

What is the current that appears to flow in a capacitive circuit called?

A

Displacement current.

35
Q

Describe the analogy with a tube with a midway membrane that’s already filled with balls.

A

As a new ball is pushed in one end, a ball pops out the other end although no balls actually pass through the tube unless too many are forced in and the membrane breaks, allowing a flow of balls from one end to the other. Allowing the membrane to rebound is analogous to discharging the capacitor.

36
Q

What causes leakage in otherwise good capacitors and how long will a quality capacitor retain its charge?

A

The insulating dielectric in a capacitor isn’t perfect and small leakage current will flow, eventually dissipating the charge. A high quality capacitor may hold its charge for a month or more.

37
Q

What does discharge entail?

A

Discharging a capacitor means neutralizing the two plates by providing a conducting path of electrons from the negative plate to the positive. The distorted orbits of the electrons in the dielectric return to their normal position and the stored energy is returned to the circuit.

38
Q

How much energy does an operating capacitor consume?

A

None; the charging energy drawn from the source is recovered on discharge.

39
Q

A voltage will be developed across a resistor only when a current flows through it. T/F

A

True, per Navy p. 195

40
Q

How is the charge related to the capacitance and voltage?

A

Q = CE

41
Q

Does a simple circuit with a resistor and capacitor in series constitute a “voltage divider”? T/F

A

True, because the voltage drops across both devices individually. Navy p. 195

42
Q

How is a voltage divider circuit with a resister and capacitor in series designated?

A

Such an arrangement is called an RC series circuit.

43
Q

In a battery RC series circuit, at the instant current begins to flow, what is the voltage on the capacitor and the drop across R?

A

There is no voltage on the cap and the drop across R equals the battery voltage.

44
Q

What is the initial charging current in an RC series circuit?

A

I = E (source)/R

45
Q

What is the voltage on a capacitor proportional to?

A

Its charge.

46
Q

Based on Navy Fig 11-9 (B) of a battery RC circuit, what are the instantaneous and time relationships between E(source), I(cap), E(resistor), and E(capacitor)?

A

At the instant the switch is closed, E(source) instantaneously rises to E and stays there while the switch remains closed; I(cap) instantly rises to I = E/R and falls off to zero; E(resister) instantly rises to E and falls off to zero; E(cap) is at zero and rises to E.

47
Q

In the battery RC circuit, once the cap is fully charged and the voltage across it equal to the battery voltage, what is the voltage across R and the amount of current flowing through it?

A

The voltage is zero and no current flows through it.

48
Q

On charging a capacitor, what is the relationship between the division of the battery voltage between the resistance and capacitance?

A

E (resistor) instantaneously goes to battery voltage while E (cap)rises to battery voltage.

49
Q

What causes capacitor discharge?

A

Discharge current discharges the cap.

50
Q

What is the voltage polarity across the resistor during discharge?

A

Because I (disch) is in the opposite direction of I (charge), the polarity will be the opposite.

51
Q

During discharge, what is the relationship between the voltage across the capacitor and across the resistor?

A

The voltage across the capacitor is equal and opposite; it drops rapidly from its initial value and then approaches zero slowly.

52
Q

What is the time constant of an RC circuit?

A

The time required to charge a capacitor to 63.2% of maximum voltage or to discharge it to 36.8% of its final voltage, or completely if it continues to charge or discharge at its initial rate.

53
Q

The value of the time constant in seconds is equal to?

A

The time constant in seconds is equal to the product of the circuit resistance in ohms and its capacitance in farads.

54
Q

In calculating the time constant for an RC battery circuit, R (ohms) x C (farads) equals ______ .

A

T (seconds), and this relationship holds for R (megohms) x C (microfarads).

55
Q

In calculating the time constant in an RC battery circuit, and if R is in ohms and C in microfarads, what time values result?

A

Microseconds.

56
Q

In calculating the time constant for an RC battery circuit, what time values result when inputting R (megohms) x C (picofarads)?

A

Microseconds.

57
Q

What is the equation for a capacitor’s charging current and what is the amperage if t = RC, source voltage 100 volts, resistance 10 ohms, and capacitance 0.000001 farad (1 microfarad)?

A

I (cap) = E/R * (1/2.718^t/RC); when t = RC, I (cap) = 0.368 x 100/10 = 3.68 ampere.

58
Q

When can a universal time constant chart be used?

A

When the impressed voltage and values of R and C or R and L are known.

59
Q

Based on the universal time constant chart, what must the capacitance be to charge to one-fifth (0.2) of the maximum charging voltage in 100 microseconds (0.0001), given a required R of 20,000 ohms and that curve A indicates the RC time necessary to give 0.2 of the full voltage is approximately 0.22 RC?

A

If 0.22 is equal to 100 microseconds, one complete RC must be equal to 100/.22 = 455 microseconds, or 0.000495 second; therefore, RC = 0.000495; substituting the known value of R and solving for C, C = 0.000495/20,000 = 0.000000023 farad, or 0.023 microfarad.