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2. Electric Potential and Capacitance
medium
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 $W_{A C}$ represents the workdone from $A$ to $C$, then

A
$W_{A B} > W_{A C}$
B
$W_{A B} < W_{A C}$
C
$W_{A B}=W_{A C} \neq 0$
D
$W_{A B}=W_{A C}=0$
Solution

(c)
$W_{A B}=U_B-U_A=q_0\left(V_B-V_A\right)$
$W_{A C}=U_C-U_A=q_0\left(V_C-V_A\right)$
$\text { As } V_B-V_C$
$W_{A B}=W_{A C}$
Standard 12
Physics