In the electric field of a point charge q , a certain charge is carried from point A to $\mathrm{B},

Question

In the electric field of a point charge q , a certain charge is carried from point A to $\mathrm{B}, \mathrm{C}, \mathrm{D}$ and E . (A,B,C,D & E are all equidistant from the charge). Then the work done\

Professor PC Thomas Classes · Answer

$\mathrm{W}_{\mathrm{AB}}=\left(\mathrm{V}_{\mathrm{B}}-\mathrm{V}_{\mathrm{A}}ight) \mathrm{q}=0$ since $\mathrm{V}_{\mathrm{A}}=\mathrm{V}_{\mathrm{B}}$ Similarly $\mathrm{W}_{\mathrm{AC}}=\left(\mathrm{V}_{\mathrm{C}}-\mathrm{V}_{\mathrm{A}}ight) \mathrm{q}=0$ $$ \begin{aligned} & \mathrm{W}_{\mathrm{AD}}=\left(\mathrm{V}_{\mathrm{D}}-\mathrm{V}_{\mathrm{A}}ight) \mathrm{q}=0 \ 	herefore \quad & \mathrm{~W}_{\mathrm{AB}}=\mathrm{W}_{\mathrm{AC}}=\mathrm{W}_{\mathrm{AD}}=0 \end{aligned} $$