Syllabus Edition

First teaching 2020

Last exams 2024

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Capacitors (CIE A Level Physics)

Exam Questions

26 mins3 questions
1a
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2 marks

Define the capacitance of a parallel plate capacitor.

1b
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3 marks

Two capacitors, of capacitances, CA and CB, are connected in parallel to a power supply of electromotive force (e.m.f.) E, as shown in Fig. 1.1.

 19-1-1b-m-capacitors-in-parallel-sq-cie-a-level
Fig. 1.1
 
Determine an expression for the combined capacitance CC of the two capacitors. 

1c
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3 marks

Two capacitors of capacitances 18 μF and 51 μF, and resistor of resistance 4.5 kΩ, are connected into the circuit of Fig. 1.2.

 
19-1-1c-m-capacitance-circuit-sq-cie-a-level
Fig. 1.2
 
The battery has an e.m.f of 8 V.
 
(i)
Calculate the combined capacitance of the two capacitors.
[1]
 
(ii)
The two-way switch S is initially at position P, so that the capacitors are fully charged. 
 
Use the information in (c) (i) to calculate the total energy stored in the two capacitors.
 
total energy = .................................. J [2]

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2a
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2 marks

Three capacitors, each of capacitance 27 μF, are connected as shown in Fig. 1.1.

 19-1-2a-m-capacitance-circuit-with-series-and-parallel-sq-cie-a-level

 

Fig. 1.1

Calculate the total capacitance between points P and Q.

 
capacitance = ..................................... μF 

2b
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2 marks

The maximum safe potential difference that can be applied across any one capacitor is 4 V. 

Determine the maximum safe potential difference that can be applied between points P and Q.

 
potential difference = ...................................... V 
2c
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3 marks

A capacitor consists of an insulator separating two metal plates, as shown in Fig. 1.3.

19-1-2c-m-capacitor-with-insulator-sq-cie-a-level

Fig. 1.3

 

The potential difference between the plates is V. The variation with of the magnitude of the charge on one plate is shown in Fig. 1.4.

19-1-2c-m-energy-stored-in-capacitor-graph-sq-cie-a-level

Fig 1.4

Explain why the capacitor stores energy but not charge.

2d
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4 marks

Use Fig. 1.4 to determine: 

(i)
the capacitance of the capacitor
 

capacitance = ................................. μF [2]

 

(ii)
the loss in energy stored in the capacitor when the potential difference is reduced from 8 V to 6 V.
 

energy = ................................. mJ [2]

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3a
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2 marks

State two functions of capacitors connected in electrical circuits.

 

3b
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3 marks

Three capacitors are connected in parallel to a power supply as shown in Fig. 1.1. 

 19-1-3b-m-show-combined-capacitance-sq-cie-a-level
Fig. 1.1
 
The capacitors have a capacitance CACB and CC. The power supply provides a potential difference E. 
(i)
Explain why the charge on the positive plate of each capacitor is different. 
 
[1] 
(ii)
Use your answer in (i) to show that the combined capacitance CT of the three capacitors is given by the expression.
 
C subscript T space equals space C subscript A space plus space C subscript B space plus thin space C subscript C 
[2]
3c
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2 marks

A student has available three capacitors, each of capacitance 24 μF. 

Draw circuit diagrams, one in each case, to show how the student connects the three capacitors to provide a combined capacitance of: 

(i)
36 μF
[1] 
(ii)
16 μF

[1]

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