Question

Electric potential at equatorial point of a small dipole with dipole moment P(At, r distance from the dipole) is

• A. zero
• B. $\frac{P}{4\pi {\epsilon }_0{r}^2}$
• C. $\frac{P}{4\pi {\epsilon }_0{r}^3}$
• D. $\frac{2P}{4\pi {\epsilon }_0{r}^3}$

Answer 1

The correct option is A zero

Electric potential at equatorial point of a small dipole moment $=P$ (at $r$)

As we have learned,

if, $r>>1$

$E_{axi}=\frac{1}{4\pi {ϵ}_0}\frac{2P}{r^3}$

$V_{axi}=\frac{1}{4\pi {ϵ}_0}\frac{P}{r^2}$

where,

angle between $E_{axi}$ and $P$ will be $O$.