CIE A Level Physics

Topic Questions

Syllabus Edition

First teaching 2020

Last exams 2024

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19.2 Charging and Discharging

1a
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3 marks

A sinusoidal alternating potential difference (p.d.) from a supply is rectified using a single diode.
The variation with time t of the rectified potential difference V is shown in Fig. 5.1.

q5-paper-4-specimen-2022-cie-ial-physics

Fig. 5.1

(i)
Determine the root-mean-square (r.m.s.) value of the supply potential difference before rectification.



r.m.s. potential difference = .................................. V [2]

(ii)
State the type of rectification shown in Fig. 5.1.

[1]

1b
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6 marks

The alternating potential difference is rectified and smoothed using the circuit in Fig. 5.2.

q5b-paper-4-specimen-2022-cie-ial-physics

Fig. 5.2

The capacitor has capacitance C of 85 μF and the resistor has resistance R.

The effect of the capacitor and the resistor is to produce a smoothed output potential difference VOUT. The difference between maximum and minimum values of VOUT is 2.0 V.

(i)
On Fig. 5.1, draw a line to show VOUT between times t = 1.0 ms and t = 5.0 ms.

[3]

(ii)
Determine the time, in s, for which the capacitor is discharging between times t = 1.0 ms and t = 5.0 ms.



time = .................................... s [1]

(iii)
Use your answers in (b)(i) and (b)(ii) to calculate the resistance R.




R
= ........................................ Ω [2]

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2a
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2 marks

The variation with potential difference of the charge on one of the plates of a capacitor is shown in Fig. 1.1.

19-2-2a-m-q-v-graph-for-charging-and-discharging-sq-cie-a-level

Fig. 1.1

The capacitor is connected to a 12.0 V power supply and two resistors P and Q are shown in Fig. 1.2.

19-2-2a-m-q-v-and-charging-and-discharging-circuit-sq-cie-a-level

Fig. 1.2

The resistance of P is 28 kΩ and the resistance of Q is 280 kΩ.

The switch can be in either position A or position B.

 

The switch is in position A so that the capacitor is fully charged.

Calculate the energy stored in the capacitor.

 
= ........................................... J 

2b
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2 marks

The switch is now moved to position B.

 Show that the time constant of the charge circuit is 4.2 s.

2c
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4 marks

The fully charged capacitor in (a) stores energy E

Determine the time taken for the stored energy to decrease from to E/4.

 
= ......................................... s 

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3a
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3 marks

A capacitor of capacitance 520 μF is connected to a battery of electromotive force (e.m.f.) 36 V in the circuit of Fig. 1.1.

19-2-3a-m-capacitance-with-resistors-sq-cie-a-level

Fig. 1.1

The two-way switch is initially at position X.

 

X and Y are identical long straight wires, each with a resistance of 2.4 kΩ. These wires are placed near to and parallel to each other. Wire Y is connected to a voltmeter. 

 

At time = 0, switch S is moved to position B so that the capacitor discharges through wire X.

 

(i)
Calculate the charge Q0 on the capacitor at time = 0. 
 
Q0  = ............................................... C [2]
 
(ii)
Calculate the current I0 in wire P at time = 0.
 
I0 = ............................................... A [1]

3b
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2 marks

Calculate the time constant τ of the discharge circuit.

 
τ = ---------------------------------------- s 
3c
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3 marks
(i)
On FIg. 1.2, sketch a line to show the variation with of the current in wire X as the capacitor discharges. 
 
19-2-3c-m-i-t-axes-capacitors-sq-cie-a-level
Fig. 1.2
[2]
 
(ii)
On Fig. 1.3, sketch a line to suggest the variation with of the voltmeter reading V.

19-2-3c-m-i-t-v-t-axes-capacitors-sq-cie-a-level

Fig 1.3

[1]

3d
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3 marks

Explain why there is an induced e.m.f. across wire Y during the discharge of the capacitor.

 

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