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Edexcel | Physics WPH0 | W 18 4 1 | 1 hour 30 minutes

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In the Van de Graaff generator, charge is transferred to a hollow metal dome which is

insulated from the ground.

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(a)

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The dome may be treated as a positively charged sphere with the charge distributed

evenly on its outside surface.

The electric field outside the sphere is the same as if all the charge were concentrated at

the centre of the sphere. The diagram shows the electric field for a positively charged

conducting sphere

17

(a) (I)

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1 Mark

Suggest why there are no field lines inside the sphere

Resultant force on a charge would be zero

Or there is no charge inside the sphere

Or there is no field inside the sphere

17

(a) (II)

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2 Mark s

Sketch a graph to show how the electric field strength varies with distance from

the centre of the sphere.

Concave curve starting from radius of sphere, not reaching axis

Line along x axis inside radius of sphere

(accept no line for this part if graph sketched in the part after the dashed

line at the radius)

17

(b) (I)

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3 Mark s

The capacitance of a conducting sphere of radius r is given by

The dome of the Van de Graaff generator behaves as a conducting sphere of

Calculate the potential difference between the dome and the Earth.

Potential difference =

17

(b) (II)

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3 Mark s

The dome of the Van de Graaff generator is connected to Earth through a resistor

of resistance R.

Calculate the time taken for the Van de Graaff generator to lose 70 % of its charge.

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