Q.

The insulation property of air breaks down at E= 3x 106 volt per metre. The maximum charge that can be given to a sphere of diameter 5 metres is approximately

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a

2 x 10-2 C

b

2 x 10-3 C

c

2 x 10-4 C

d

2 x 10-5 C

answer is B.

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Detailed Solution

Electric field on the surface of sphere =14πε0×qr2Its maximum value may be 3 x 106 v/m because after this value, the insulation property of air breaks.∴3×106=9×109×q/(2⋅5)2q=3×106(2⋅5)29×109=2×10−3C
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The insulation property of air breaks down at E= 3x 106 volt per metre. The maximum charge that can be given to a sphere of diameter 5 metres is approximately