CIE A Level Physics

Topic Questions

Syllabus Edition

First teaching 2020

Last exams 2024

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18.2 Electric Potential

1a
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5 marks

Two charged metal spheres A and B are situated in a vacuum, as illustrated in Fig. 4.1.

q4b-paper-4-specimen-2022-cie-ial-physics

Fig. 4.1

The shortest distance between the surfaces of the spheres is 6.0 cm.

A movable point P lies along the line joining the centres of the two spheres, a distance x from the surface of sphere A.

The variation with distance x of the electric field E at point P is shown in Fig. 4.2.

q4b-2-paper-4-specimen-2022-cie-ial-physics

Fig. 4.2

(i)
Use Fig. 4.2 to explain whether the two spheres have charges of the same, or opposite, sign.

[2]

(ii)
A proton is at point P where x = 5.0 cm.

Use data from Fig. 4.2 to determine the magnitude of the acceleration of the proton.




acceleration = ................................. m s–2 [3]

1b
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2 marks

The electric potential gradient is related to the electric field. 

Use data from Fig. 4.2 to state the value of x at which the magnitude of the electric potential gradient is maximum. Give a reason for the value you have chosen.

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2a
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2 marks

Define electric potential at a point.

 

2b
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3 marks

An isolated conducting sphere is charged. Fig. 1.1 shows the variation of the potential due to the sphere with displacement from its centre.

18-2-2b-m 
Fig. 1.1
Use Fig. 1.1 to determine:
 
(i)
the radius of the sphere
 
radius = ........................... m [1]
(ii)
the charge on the sphere.
 
charge = .......................... C [2]

2c
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2 marks

Two spheres are identical to the sphere in (b) with the same charge.  

The spheres are held in a vacuum so that their centres are separated by a distance of 0.52 m.  

Assume that the charge on each sphere is a point charge at the centre of the sphere.  

Calculate the electric potential energy Ep of the two spheres. 

 
Ep = ....................................... J 
2d
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3 marks

The two spheres are now released simultaneously so that they are free to move. 

Describe and explain the subsequent motion of the spheres.
 

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3a
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3 marks

Two charges are separated by a distance of 23 cm, as shown in Fig. 1.1. 

18-2-3c-m-point-charge-and-elec-field-sq-cie-a-level

Fig. 1.1 

Calculate the distance, in mm, from the −22.1 μC to the point between the two charges, where the resultant electric potential is zero. 

3b
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4 marks

Fig. 1.2 shows the axis of an electric potential against distance graph from the −22.1 μC charge to the +5.4 μC charge. 

  
18-2-3b-m-electric-potential-draw-graph-sq-cie-a-level
Fig. 1.2
 
Draw the graph on Fig. 1.2 and label any relevant points. 
3c
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3 marks

Point X lies 40 cm to the right of the −22.1 μC charge, as shown in Fig. 1.3.

 
 18-2-3c-m-point-charge-and-elec-field-sq-cie-a-level
 
Fig. 1.3
 
Calculate the electric potential at point X due to the +5.4 μC.
3d
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3 marks

Calculate the total electric potential at point X.

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