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Q.

The insulation property of air breaks down at E = 3 x  l06 Vim. The maximum charge that can be given to a sphere of diameter 5 m is approximately (in coulombs)

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a

2 ×10-2

b

2 ×10-3

c

2 ×10-4

d

2 ×10-5

answer is B.

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Detailed Solution

Electric field on the surface of a conducting sphere is

E=14πε0·qr2

∴ Charge, q=Er2·4πε0=3×106×(2.5)29×109≃2×10-3C

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