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Question

In a Van de Graaff type generator, a spherical metal shell is to be 15×106V electrode. The dielectric strength of the gas surrounding the electrode is 5×107Vm1. The minimum radius of the spherical shell required is :

A
1m
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B
2m
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C
1.5m
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D
3m
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Solution

The correct option is C 3m
Here V=15×106V
Maximum electric field, E=10% of dielectric strength
E=10100×5×107=5×106Vm1
As we know,
E=Vr

r=VE=15×1065×106
r=3m
Hence the correct option is (D)

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