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(C) The work done in bringing the charges from infinity to their respective positions is equal to the change in the electrostatic potential energy of

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$q^2 / 4 \pi \varepsilon_0 a$

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(C) The work done in bringing the charges from infinity to their respective positions is equal to the change in the electrostatic potential energy of the system.Let the shell be charge $1$,the charge $+q$ be charge $2$,and the charge $-q$ be charge $3$.The potential inside a uniformly charged spherical shell is constant and equal to $V = kQ/R$,where $k = 1 / (4 \pi \varepsilon_0)$.$1$. Work done to bring charge $+q$ to $x = -a/2$: $W_1 = q 	imes V_{	ext{shell}} = q(kQ/R)$.$2$. Work done to bring charge $-q$ to $x = +a/2$: $W_2 = (-q) 	imes V_{	ext{shell}} + (-q) 	imes V_{	ext{charge } q} = (-q)(kQ/R) + (-q)(kq / a) = -kQq/R - kq^2/a$.Total work done $W = W_1 + W_2 = (kQq/R) - (kQq/R) - kq^2/a = -kq^2/a$.The magnitude of the work done is $|W| = | -kq^2/a | = q^2 / (4 \pi \varepsilon_0 a)$.

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