A point charge q is surrounded symmetrically | vedclass

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Question

(B) The potential $V$ at the centre due to the six identical charges $q$ placed at a distance $r$ is given by the sum of potentials from each charge:$

Vedclass · Accepted Answer

$6q^2 / (4\pi \varepsilon_0 r)$

Vedclass · Answer

(B) The potential $V$ at the centre due to the six identical charges $q$ placed at a distance $r$ is given by the sum of potentials from each charge:$V = 6 	imes \frac{1}{4\pi \varepsilon_0} \frac{q}{r} = \frac{6q}{4\pi \varepsilon_0 r}$The work done by the electrostatic forces when a charge $q$ is moved from the centre (where the potential is $V$) to infinity (where the potential is $0$) is given by:$W = q(V_{initial} - V_{final}) = q(V - 0) = qV$Substituting the value of $V$:$W = q 	imes \frac{6q}{4\pi \varepsilon_0 r} = \frac{6q^2}{4\pi \varepsilon_0 r}$

$A$ point charge $q$ is surrounded symmetrically by six identical charges $q$ at a 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 moved to infinity?

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