Point charge $q$ moves from point $P_D$ to point $S_2$ along the path PQR S (figure shown) in a uniform electric field $\Gamma$ pointing coparallel to the positive direction of the $X_-$ axis. The coordinates of the points $P, Q, R$ and $S_2$ are $(a,b,0), (2a,0,0), (a,-b,0)$ and $(0,0,0)$ respectively. The work done by the field in the above process is given by the expression
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As electric field is a conservative field Hence the work done does not depend on path
∴ ∴ $W_{ABCD} = W_{AOD}$ $= W_{AO} + W_{OD}$
= Fb cos 90 o + Fa cos 180 o = 0 + qEa (– 1)= – qEa
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