Work done by electrostatic force to take point charge $Q$ from O to O' is. {Where O and O' are center of uniformly charged rings of radius $R$ with charge $+ Q$ and $Q$ . If $\frac{k Q^{2}}{R} = 1$ }

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Solution

Work done = $(V_{0} - V_{0^{'}}) Q$
$\Rightarrow V_{0} = \frac{k Q}{R} - \frac{3 k Q}{5 R} a n d V_{0^{'}} = - \frac{k Q}{R} + \frac{3}{5} \frac{k Q}{R}$
$\Rightarrow W = \frac{4}{5} \frac{k Q^{2}}{R}$

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Work done by electrostatic force to take point charge Q from O to O' is. {Where O and O' are center of uniformly charged rings of radius R with charge +Q and Q. If kQ2R=1 }

Work done = (V0−V0′)Q ⇒V0=kQR−3kQ5R and V0′=−kQR+35kQR ⇒W=45 kQ2R

Work done by electrostatic force to take point charge $Q$ from O to O' is. {Where O and O' are center of uniformly charged rings of radius $R$ with charge $+ Q$ and $Q$ . If $\frac{k Q^{2}}{R} = 1$ }

Work done = $(V_{0} - V_{0^{'}}) Q$
$\Rightarrow V_{0} = \frac{k Q}{R} - \frac{3 k Q}{5 R} a n d V_{0^{'}} = - \frac{k Q}{R} + \frac{3}{5} \frac{k Q}{R}$
$\Rightarrow W = \frac{4}{5} \frac{k Q^{2}}{R}$