Question

A dipole of dipole moment $\overrightarrow{p}=p\hat{i}$ is kept at the center of circle of radius $r$ as shown in the figure. The radius of the circle is very large in comparison to the distance between the two charges of the dipole. $A$ & $B$ are two points on the axis and $C$ & $D$ are two points on the equatorial line of the dipole. If $V_A,V_B,V_C$ and $V_D$ are potentials at $A,B,C$ and $D$ respectively. Then which of the following is incorrect?

• A. $V_A-V_B=0$, $V_A-V_D=\frac{2kp}{r^2}$
• B. $V_A-V_B=0$, $V_A-V_D=\frac{kp}{r^2}$
• C. $V_A-V_B=\frac{2kp}{r^2}$, $V_A-V_D=\frac{kp}{r^2}$
• D. $V_A-V_B=\frac{2kp}{r^2}$, $V_A-V_D=\frac{2kp}{r^2}$

Answer 1

Answer: (C)