The energy stored in a sphere of 10cm radius when the sphere is charged to a potential of 300 volt is

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3 × 10^–6J

5 × 10^–7J

4 × 10^–7J

2 × 10^–6J

answer is A.

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Detailed Solution

$\begin{array}{l} U = \frac{1}{2} {CV}^{2} = \frac{1}{2} (4 {πε}_{0} r) V^{2} \\ = \frac{1}{2} (\frac{1}{9 X 10^{9}} \times 0 .1) 300^{2} = 5 \times 10^{- 7} J \end{array}$

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