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Q.

A point charge q is surrounded by six identical charges at distance r shown in the figure. How much
work is done' by the force of electrostatic repulsion, when the point charge at the centre is removed to
infinity?

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a

${36q}^{2} {/4πε}_{0} r$

b

zero

c

${6q}^{2} {/4πε}_{0} r$

d

${6q/4πε}_{0} r$

answer is B.

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Detailed Solution

Work done, $W = U_{i} - U_{f} = 6 [\frac{1}{4 {πε}_{0}} \cdot \frac{q \cdot q}{r}] - 0 = \frac{6 q^{2}}{4 {πε}_{0} r}$

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A point charge q is surrounded by six identical charges at distance r shown in the figure. How muchwork is done' by the force of electrostatic repulsion, when the point charge at the centre is removed toinfinity?