In the electric field of a point charge q,a c | vedclass

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(C) The electric potential $V$ at a distance $r$ from a point charge $q$ is given by $V = \frac{kq}{r}$.Since points $A, B, C, D$ and $E$ all lie on t

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Is zero along all the paths $AB, AC, AD$ and $AE$

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(C) The electric potential $V$ at a distance $r$ from a point charge $q$ is given by $V = \frac{kq}{r}$.Since points $A, B, C, D$ and $E$ all lie on the circumference of a circle centered at the point charge $q$,they are all at the same distance $r$ from the charge.Therefore,all these points are at the same electric potential,making the path $ABCDE$ an equipotential surface.By definition,the work done $W$ in moving a charge $q_0$ between two points at the same potential is $W = q_0(V_f - V_i) = q_0(V - V) = 0$.Thus,the work done in moving a charge from point $A$ to any of the points $B, C, D$ or $E$ is zero.

In the electric field of a point charge $q$,a certain charge is carried from point $A$ to points $B, C, D$ and $E$ as shown in the figure. Then the work done:

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