The electrostatic potential $V$ at a point on the circumference of a thin non-conducting disk of radius $r$ and uniform charge density $\sigma$ is given by equation $V = 4 \sigma r$. Which of the following expression correctly represents electrostatic energy stored in the electric field of a similar charged disk of radius $R$?

  • A

    $U = \frac{8}{3}\pi {\sigma ^2}{R^3}$

  • B

    $U = \frac{4}{3}\pi {\sigma ^2}{R^3}$

  • C

    $U = \frac{2}{3}\pi {\sigma ^2}{R^3}$

  • D

    None of these.

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  • [AIPMT 1996]