Capacitors Flashcards

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1
Q

What is a capacitor?

A

A capacitor is a device that stores charge.

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2
Q

What is the setup of a capacitor?

A

Two parallel metal plates placed near each other form a capacitor. When the plates are connected to a battery, they gain equal and opposite charges.

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3
Q

Charging a capacitor at constant current: describe setup of circuit and why each component is used.
What’s the graph drawn?

A

battery connected in series to a capacitor, variable resistor and microammeter, with a data logger connected in parallel to the capacitor. Stopwatch and data logger to measure p.d. at diff times. Variable resistor is continuously adjusted to keep current constant. Hence Q =It

Plot charge stored against p.d. to get straight line through the origin.

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4
Q

Define capacitance.
Units?

A

Charge stored per unit p.d.
C = Q/V
Unit is Farad (F).

Therefore graph above, gradient is capacitance.

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5
Q

Capacitor uses: what types of circuits? (6)

A

-smoothing circuits
-back-up power supplier
-timing circuits
-pulse-producing circuits
-tuning circuits
-filter circuits

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6
Q

-smoothing circuits

A

ie circuits that smooth out unwanted variations in voltage

eg supplying current if mains supply interrupted

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7
Q

-back-up power supplier

A

ie circuits that take over when the mains supply is interrupted

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8
Q

-timing circuits

A

ie circuits that switch on or off automatically after a present delay

eg say an alarm only goes off if the p.d. falls to a certain value. if we use capacitor, we can slow down the decrease in p.d. across the capacitor by using a higher capacitance capacitor, hence loner delay before alarm sounds.

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9
Q

-pulse-producing circuits

A

ie circuits that switch on and off repeatedly

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10
Q

-tuning circuits

A

ie circuits that are used to select radio stations and TV channels

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11
Q
  • filter circuits
A

ie circuits that remove unwanted frequencies

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12
Q

When a capacitor is charged, energy is stored in it as — because—

A

stored as electric potential energy bc e-s are forced onto one of its plates and taken off the other plate.

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13
Q

Energy stored by capacitor, E = 1/2QV (area of Q-V graph). In the charging process, the battery forces charge Q through p.d. V and the circuit therefore transfers energy QV to the circuit. What does this tell us?

A

Thus 50% of the energy supplied by battery (=1/2QV) is stored in the capacitor. The other 50% is wasted due to resistance in he circuit as it is transferred to the surroundings when the charge flows in the circuit.

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14
Q

What apparatus can we use to measure energy stored in a charged capacitor?

A

A joulemeter (and voltmeter).

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15
Q

Energy stored in a thundercloud:
For a thundercloud carrying a constant charge, Q, the energy stored = 1/2 QV = 1/2 QE/d.

Effect of increasing d?

(d is distance between Earth and thundercloud)

A

If thundercloud is forced by winds (wind does work) to rise up to a new height d’, then E = 1/2 QE/d’.
Bc electric field strength is unchanged ( bc depends on charge per unit area) then the increase in energy stored E= 1/2 QE/Δd.

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16
Q

Capacitor discharge through fixed resistor:

When a capacitor discharges through a fixed resistor, the discharge current…
because…
so current through resistor…

A

decreases gradually to sero. This is bc the pd across the capacitor decreases as it loses charge. Bc resistor is connected directly to capacitor, resistor current (=pd/resistance) decreases as the pd decreases.

17
Q

Describe the graph of current, charge and p.d. against time during discharge.

A

Current, charge and p.d. decrease exponentially - exponential decay rgaph.

18
Q

Exponential decay:
If Q0 decreased to 0.9Q0 in time t1, what will the charge be after nt1?

A

If Q0 decreased to 0.9Q0 in time t1, the charge will be 0.9^nQo after nt1.

Graphical eq : Q = Qoe^-t/RC

19
Q

What’s the time constant?

A

RC = time constant.
At t=RC after start of discharge, the charge falls to 0.37 (=e^-1) of its initial value.

20
Q

Charging of capacitor through a fixed resistor:
When a capacitor is charging by connecting it to a source of constant p.d., the charging current…
When fully charged, p.d. is.. and current…

A

decreases as the capacitor charges.
When fully charged, its p.d. is equal to the source p.d., and the current is zero bc no more charge flows in the circuit.

21
Q

What does the Q-t graph look like for a charging capacitor?

A

The curve of the graph is inverted exponential decay, flat at Q0 (=CVo).

V=Q/C ∴ same graph for V

22
Q

What’s the time constant for this circuit?

A

The time taken for charge to reach 63% of final charge (37% more charge needed to be fully charged).

23
Q

Graph for I-t when charging?

A

Capacitor current I decreases exponentially to zero from I0. Current is rate of change of charge ∴ is gradient of Q-t graph ∴ it decreases exponentially.

24
Q

What’s a dielectric. What does it do? Give two examples.

A

Dielectrics are electrically insulating materials that increase the ability of a parallel-plate capacitor to store charge when placed between the plates.
Eg polythene, waxed paper.

25
Q

How does it do this? ( literal simple terms)

A

Each molecule of the dielectric becomes polarised, or polar molecules rotate and align w/ the field.

26
Q

As a result more charge is stored on the plates because? (2 v.v)

A

-the positive side of the dielectric attracts more e-s from the battery to the -ve plate.
-the negative side of the dielectric pushes e-s back to the battery from the +ve plate.

27
Q

Dielectrics increase charge stored for any given p.d. across a capacitor i.e…

A

i.e. it increases the capacitance of the capacitor.

28
Q

What is relative permittivity, εr, of the dielectric substance?

(also called dielectric constant)

A

εr = Q/Qo = charge stored by capacitor when space between parallel plates filled with dielectric / charge in capacitor when empty space.

29
Q

What is relative permittivity, εr, of the dielectric substance?

(also called dielectric constant)

A

εr = Q/Qo = charge stored by capacitor when space between parallel plates filled with dielectric / charge in capacitor when empty space.

30
Q

How can we find εr?

A

εr = I/Io = Q/Qo
current/charge w/ over current charge w/o
Constant p.d. needed (use potential divider)

31
Q

Polarisation mechanisms of dielectric (3)

A

Orientation polarisation
Ionic polarisation
Electronic polarisation

32
Q

1 - Orientation polarisation

A

Unequal sharing of e-s in covalent bond ∴ dipoles between the atoms.

33
Q

2 - Ionic polarisation

A

Ions of each bond form a dipole.

34
Q

3 - Electronic polarisation

A

Electron distribution and nucleus form a dipole.

35
Q

In an alternating electric field, polar diploes rotate and non-polar dipoles oscillate one way then the opposite way as the field strength increases and decreases. At low frequencies…

A

the 3 polarisation mechanisms alternate in phase with the field.

36
Q

As the frequency increases…

A

each mechanisms ceased to work due the inertia of the particles involved and the resistive forces that oppose the motion of the diploes.

37
Q

Therefore, as frequency increases, walk me through the order that the mechanisms decrease by:

A

Orientation decreases
Then ionic decreases
Then electronic decreases.

38
Q

The half life:

A

0.69 x RC = t1/2

39
Q

Resistance of voltmeter really high in these circuits because?

A

Capacitor mustn’t lose charge through the meter.