Question

$A$ and $B$ are two points on the axis and the perpendicular bisector respectively of an electric dipole. $A$ and $B$ are far away from the dipole and at equal distances from it. The potentials at $A$ and $B$ are $V_{A}$ and $V_{B}$ respectively. Then,

• A. $V_{A}=V_{B}=0$
• B. $V_{A}=2 V_{B}$
• C. $V_{A} \neq 0, V_{B}=0$
• D. $V_{A} \neq 0, V_{B} \neq 0$

Answer 1

Answer: (C)

The potential at $A$ and $B$ are $V _{ A }$ and $V _{ B }$ respectively.
If $A$ and $B$ are two points on the axis and the perpendicular bisector respectively of an electric dipole
then $V _{ A } \neq 0 , V _{ B }= 0$
because, for the perpendicularity $\cos\, \theta$ will be $0 .$