6.1 Capacitors Flashcards

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1
Q

What is a capacitor?

A

A circuit component that stores energy by separating charges onto 2 electrical conductors (often called plates) with an insulator inbetween them. One plate becomes positively charged and the other becomes neatively charged.

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2
Q

What is capacitance?

A

Quantity of charge which can be stored per unit potential diffference across the plates of the capacitor.

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3
Q

What is a farad?

A

The unit of capitance is the farad. One farad is equivalent to 1 coulmb per volt.

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4
Q

What happens to energy when charges are separated in a capacitor?

A

Energy is stored

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5
Q

Compared to batteries how much energy can a capacitor store?

A

Capcitors can only store a small amount of energy compared to batteries.

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6
Q

What is a capacitor made up of?

A

They are comppsed of 2 conductors separated from one another by a gap which often contains an insulating material called a dielectric.

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7
Q

When changing the dielectric material, how does the area of overlap of the positive and negative plates affect the amount of charge in the capacitor?

A

The area of overlap of the positive and negative plates affects the amount of charge that can be transffered to each plate and therefore,the capacitance of the caapacitor.

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8
Q

In some circuits, how do they make capacitors more compact?

A

In some capacitors he plates are rolled up.

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9
Q

What way do electrons flow in a circuit with a capacitor?

A

Electrons flow from the negative terminal of the cell onto the right-hand plate off the left-hand plate towards the positive terminal of the cell.

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10
Q

Can charge flow between the plates of a capacitor?

A

No

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11
Q

How does the negative plate of a capacitor become negatively charged?

A

Electrons are transffered from the negative terminal to the negative plate.

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12
Q

How does the positive plate on a capacitor become positively charged?

A

Electrons flow off the positive plagtev and towards the positive terminal of a cell.

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13
Q

What is made as a fresult of the positive and negative plates on a capacitor?

A

It results in a potential difference across the plates of the capacitor.

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14
Q

What will happen to the charge in a circuit when a capacitor is fully charged?

A

No more charge will flow in the circuit.

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15
Q

Why does no charge flow in the circuit after a capacitor is fully charged?

A

The electrons of the negative plate will repel any further elctrons away.

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16
Q

What will the potential difference be across a capacitor when it is fully charged?

A

The pd across a capacitor will be equal to the emf of the cell.

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17
Q

What is the amount of charge stored by the capacitor directly proportional to?

A

Charge stored by the capacitor is dirrectly proportional to the pd between the plates.

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18
Q

What is the insulator between the 2 plates in a capacitor called?

A

A dielectric

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19
Q

What equation can u use to calculate capacitance?

A

Capacipance= charge/ potential difference

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20
Q

What graph would you draw when investigating measuring capacitance?

A

Plot a graph of charge against voltage and raw a straight line of best fit- the gradient gives an accurate value of the capacitance.

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21
Q

On a capacitor, what is the marked value of the capacitance on the component accurate to?

A

10%

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22
Q

What is methord one that you could use to measure the capacitance?

A
  1. Set up the apparatus.
  2. Once switch is closed, charge flows and you can adjust the variable resistor to keep the value of current constant until the capacitor becomes fully charges.
  3. Start a stopwatch and record values for the current and voltage at regular intervals until the current falls to vero- showing the capacitor is fully charged.
  4. Find the charge stroes on the plates from Q=It.
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23
Q

What is methord two that you could use to measure the capacitance?

A
  1. The apparatus fown is a coulmbmetre to measure the charge on the capacitor.
  2. Charge the capacitor to different voltages and measure that charge stored for each value.
  3. Find the percentage difference between the normial capacitance values and your experimental values.
    NOTE: Only use capacitors suitable for low voltage and avoid that may store excessive charge as they may infict a sevre elecrtic shock.
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24
Q

What is the energy stored by a capacitor equal to?

A

Energy stored by a capacitor is equal to the work done to separate charges on the two plates.

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25
Q

As the charge increases by an amount ∆Q, what does the build-up of charge on the plates oppose? What does this lead to?

A

The build-up of charge opposes further movement of electrons- this means work must be done to move the additional charge from one plate to the other.

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26
Q

What equation gives the work done to move a charge through a constant potential difference?

A

W= Q X V

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27
Q

What happens to the charge as it moves through an increaseing pd?

A

The charge will increase.

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28
Q

How can you find the total work done to charge a capacitor?

A

Find the area under a voltage against charge graph.

29
Q

What happens when the switch is moved from 1 to 2?

A

When the switch is in the 1 position, the cacapitor will charge up. When it is moves to 2, charge will flow from the capacitor plates through the bulb and resistor, transferring energy which is disipated into heat and light.
The light only comes on breifly, since the surrent only flows till the capacitor is discharraged.

30
Q

Does adding a resistor in series with a capacitor effect the amount of energy a capacitor can store?

A

No

31
Q

In regards to capacipors, what does the resistance in a circuit affect?

A

The time taken for the capacitor to fully charge.

32
Q

What is the total capacipantce of a network given by?

A

C= C1 + C2
This is because there can be no change in the amount of charge because charge in conserved.

33
Q

What is a simple use of aa capacitoor in a circuit?

A

A tempoary energy storage devise but can only store small amounts of energy.

34
Q

Over time, what will happen to the energy on a fully charged capacitor?

A

Charge will slowly discharge due to charge leakage, so the energy stored will decrease.

35
Q

Why is using capasitors for storing large amounts of energy generated by wind turbines or solar cells not practicle?

A

Capacitors are not compact enough and at the moment They cannot store charges for a long enough charge due to charge leakages.

36
Q

How is a camera flash an exampe of a tempory energy storage?

A

Charge is stored in a capacitor and released quickly. The resulting high current will excite a gas such as xenon, resulting in the energy beong converted to a bright flash of light.

37
Q

How are back-up energy supplies an example of temporary energy storage?

A
  • Large capacitors (often > F) are used in back-up power supplies in data centres to provide emergncy current for a very short amount of time, long enough to shut down the equiptment and ensure data is saved if the mains power fails.
  • Capscitors are alsoo useful to power clocks for short-durations of power interruptions.
38
Q

Why are capacitors good for back-up energy supplies compared to batteries?

A

Although capacitotors my only provide back-up power for seconds or minutes while batteries can provide back-up for several hours, with capacitor- based back-up there is no need to maintain, replace and dispose of batteries.

39
Q

Why is pulsed power in nuclear fusion research an example of temporary energy storage?

A

The Z machine is part of a research facility in New Mexico, USA. It has a very large number of high-voltage capacitors that are slowly charges, storing 22MJ, and then discharged in a few microseconds. The power output has a peak value of around 300 terrawatts, more than every power station combined.

40
Q

What is exponential decay?

A

In exponential decay, the quantity decreases at a rate that is proportional to the magnitude of the quantity at that time. In the equation form, x=x0e^kt, where k and x0 are contants.

41
Q

What is the time constant?

A

The time constant τ is the time taken for the charge remaining on a capacitor to decrease to 1/e ( about 37%of it’s inital value, measures in seconds. It can be found from τ=CR

42
Q

Is the rate at which charge moves onto plates of a capacitor linear?

A

No

43
Q

When will the curent have it’s largest value and when will it be zero, when in a circuit with a capacitor?

A

The curent will have it’s largest value at the instant that the capacitor starts to charge and will gradually decrease until it eventually reaches zero.

44
Q

What does the shape of a pd time graph look like compared to the shape of a charge-time graph of a capacitor?

A

They have exact the same shape as the pd across a capacitor is proportional to the charge stored.

45
Q

On a capacitor, what does a charging current time graph look like?

A
46
Q

On a capacitor, what does a pd time graph look like?

A
47
Q

On a capacitor, what does the charge time graph look like?

A
48
Q

What does a graph of current discharging against time, graph of pd against time while current is being disapated and a graph of the charge on a capacitor against time while current is being disapated from a capacitor look like?

A
49
Q

What is the relationship between the time it takes to fully charge a capacitor and the resistancce in the circuit?

A

The greater the size of the resistance in the circiut, the longer the capacitor will take to become fully charged or discharged.

50
Q

What does the graph look like of pd across a capacitor against time with resistor?

A
51
Q

What does the graph look like of charge across a capacitor against time with resistor?

A
52
Q

What is the time taken for a capacitor to become fully charged or discharged related to?

A
  • The resistance of the circuits
  • The capacitance of the circuit
53
Q

How will the resistance of a circuit affect the time it takes for charge to move off or on to a plate?

A

The resistance of a circuit affects the rate charge will flow.

54
Q

What cn the cacitance of a capacitor be thought of?

A

It can be though of as a bucket that holds charge- the greater the capacitance, the greater the size of the bucket, so the longer it will take to fill or empty the capacitor at a constant pd.

55
Q

What do these graphs show?

A

They show the exponentrial decrease (exponential decay) of the current, pd and charge.

56
Q

What is the rate at which the charge decreases for a charging capacitor is driectly proportional to?

A

The rate at which charge decreases for a charging capacitor is proportional to the amount of stored charge at that time- the carge present on the plates will decrease exponentially.

57
Q

What equation can be used for the exponatial decay?

A

x=x0e^-t

58
Q

What equation expesses the charge for a capacitor discharged in a circuit of resistance after a certain amount of time?

A

Q+=Q0e^-t/CR

59
Q

What equation expesses the pd for a capacitor discharged in a circuit of resistance after a certain amount of time?

A

V=V0e^-t/CR

60
Q

What equation expesses the current for a capacitor discharged in a circuit of resistance after a certain amount of time

A

I=I0e^-t/CR

61
Q

What are the units of the time constant?

A

Ohm-farad, equivalent to seconds

62
Q

What does 1 farad equal? (Use C=Q/V)

A

1 farad equals 1 coulmb per volt.

63
Q

What are the units of capacitance x resistance?

A

Capacifance x ohm = (coulb/volt) x (volt/ ampere) = Coumlb/ Ampere. From the equation Q-it the base units must be equal to seconds.

64
Q

How do you find the capacitance in capacitors in parallel?

A
  • The total charge stored on the capacitors must be the sum of the charges stored on each of the capacitors: Q=Q1+Q2+Q3
  • As the charge on each capacitor is found from Q=CV and the voltage across each of the capacitors is the same:CV=C1V+C2V=C3V= CV= V(C1+C2+C3).
  • Which simplifies to C= C1+C2+C3.
65
Q

How do you find the capacitance in capacitors in series?

A
  • V= V1+V2+V3 and V=Q/C
  • Q/C= Q/C1+Q/C2+Q/C3
  • 1/C=1/C1+1/C2=1/C3
66
Q

What are the equation for the charge, potential difference and current for a capacitor of capacitance, C?

A
  • Q=Qf(1-e^-t/CR)
  • V=Vf(1-e^t/CR)
  • I=I0e^-t/CR
67
Q

How can you find the time constant from the graph of pd or charge on the capacitor varies as the capacitor is charged or discharged against time?

A

We can see from the graph that in 20s internals the fractional change in Q is the same (from 100 to 37 is 1/e, and from 37 to 13.5 is 1/e and from, 13.5 to 5 is 1/e).

68
Q

How can you arrange Q=Q0e^-t/CR to plot a logarithmic graph?

A

lnQ=lnQ0-t/CR

69
Q

How can you test the exponential decay equation to verift that pd or charge on the capacitor decreases as an exponential function?

A
  • Plot a pd-time graph and check the time constant, or the time to halve from it’s inital value is constant.
  • Plot a graph of V against t and see if its a straight line.