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  4. A point charge q is held at the centre of a circle of radius r . B, C are two points on the circumference of the circle and A is a point outside the circle. If WA B represents work done by electric field in taking a charge q0 from A to B and W AC represents the workdone from A to C, then

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Q. A point charge $q$ is held at the centre of a circle of radius $r . B, C$ are two points on the circumference of the circle and $A$ is a point outside the circle. If $W_{A B}$ represents work done by electric field in taking a charge $q_{0}$ from $A$ to $B$ and $W_{ AC }$ represents the workdone from $A$ to $C$, thenPhysics Question Image

Electrostatic Potential and Capacitance

Solution:

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$W_{A B}=U_{B}-U_{A}=q_{0}\left(V_{B}-V_{A}\right)$
$W_{A C}=U_{C}-U_{A}=q_{0}\left(V_{C}-V_{A}\right)$
As $V_{B}-V_{c}$
$W_{A B}=W_{A C}$