The electric potential due to an electric dipole
(A) depends on $r$, where $r$ is the magnitude of position vector $\vec r$
(B) depends on the angle between the position vector $\vec r$ and the dipole moment vector $\vec p$
(C) falls off at long distances, as $1/r^2$
(D) does not depend upon the distance separating the charges
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → (A), (B) and (C) only
The electric potential due to an electric dipole is given by:
$V = \frac{1}{4\pi\varepsilon_0} \frac{p \cos\theta}{r^2}$
Hence,
(A) True — It depends on $r$ (distance from the dipole).
(B) True — It depends on the angle $\theta$ between $\vec{p}$ and $\vec{r}$.
(C) True — It varies inversely as $r^2$.
(D) False — It depends on the distance between charges through $p = q \times 2a$.
Correct options: (A), (B), and (C)