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Question

The dielectric strength of air is 3.0×106NC1. The largest charge that a 0.30 cm radius metal sphere can hold without sparking is :

A
9 nC
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B
8.2 nC
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C
6 nC
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D
3 nC
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Solution

The correct option is C 3 nC
Dielectric strength is the maximum electric field that a pure material can withstand under ideal conditions without breaking down.
Here E=Q4πϵ0R2
Q=E.4πϵ0R2=3×106.(4π×8.85×1012×0.302×104)=3×109C=3nC

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