A conducting sphere has a radius 30 cm. If the dielectric strength of surrounding air is $3 \times 10^{6} V/m,$ the maximum amount of charge the sphere can hold in micro-coulombs is

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0.3

0.03

answer is D.

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Detailed Solution

The electric intensity on the surface of the charged sphere must be less than the dielectric strength of surrounding air. $\frac{1}{4 π ε_{o}} \frac{q}{r^{2}} < E$ , this gives maximum charge as $30 μ C$

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