A point charge is surrounded symmetrically by six identical charges at distance r as shown in the&nb

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2. Electric Potential and Capacitance

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A point charge is surrounded symmetrically by six identical charges at distance $r$ as shown in the figure. How much work is done by the forces of electrostatic repulsion when the point charge $q$ at the centre is removed at infinity

A

zero

B

$6{q^{2\,}}\,/\,4\pi {\varepsilon _0}r$

C

${q^{2\,}}\,/\,4\pi {\varepsilon _0}r$

D

$12{q^{2\,}}\,/\,4\pi {\varepsilon _0}r$

Solution

Work done by electrostatic force

$=-\Delta \mathrm{U}=\mathrm{U}_{i}-\mathrm{U}_{\mathrm{f}}=\frac{6 \mathrm{Kq}^{2}}{\mathrm{r}}-0$

Standard 12

Physics

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(NEET-2022)