Question

Electric potential at an equatorial point of a small dipole with dipole moment $p(r$, distance from the dipole) is

• A. $\frac{p}{4 \pi \varepsilon_{0} r^{3}}$
• B. $\frac{p}{4 \pi \varepsilon_{0} r^{2}}$
• C. zero
• D. $\frac{2 p}{4 \pi \varepsilon_{0} r^{3}}$

Answer 1

Answer: (C)

Electric potential at equatorial point of a small dipole moment
$= P$ (at $r$ ) As we have learned,
if, $r >> 1$
$E _{ axi }=\frac{1}{4 \pi \epsilon_{0}} \frac{2 P }{ r ^{3}}$
$V _{\text {axi }}=\frac{1}{4 \pi \epsilon_{0}} \frac{ P }{ r ^{2}}$
where, angle between $E _{ axi }$ and $P$ will be $O$.