Question

The dielectric strength of air is 5times10^(6)V/m .The maximum charge that can be given to a solid sphere of radius 1m is (charge is distributed uniformly) 10mC 5mC 5/9mC 9mC ​

Answer 1

Answer:.The maximum charge that can be given to a solid sphere of radius 1m is 5/9 mC

Therefore, option (c) is correct.

Explanation:

Given:

Dielectric strength of air $E=5\times 10^6$ V/m

Radius of solid sphere [/tex]R=1[/tex] m

To find out:

Maximum charge that can be given to a solid sphere

Solution:

The maximum electric field  that a pure material can withstand under ideal conditions is known as dielectric strength.

The formula is

$\boxed{E=\frac{Q}{4\pi\epsilon_0 R^2}}$

We know that

$\frac{1}{4\pi\epsilon_0}=9\times 10^9$ Nm²/C²

Thus,

$Q=\frac{E}{9\times 10^9R^2}$

$\implies Q=\frac{5\times 10^6}{9\times 10^9\times 1^2}$

$\implies Q=5/9\times 10^{-3}$ C

$\implies Q=5/9$ mC

Hope this answer is helpful.

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