Electric potential at an equatorial point of a small dipole with dipole moment P ( r , distan

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1. Electric Charges and Fields

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

A

Zero

B

$\frac {P}{4\pi {\varepsilon _0}r^2}$

C

$\frac {P}{4\pi {\varepsilon _0}r^3}$

D

$\frac {2P}{4 \pi {\varepsilon _0}r^3}$

Solution

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

As we have learned, if, $r > > 1$

$E_{a x i}=\frac{1}{4 \pi \epsilon_{0}} \frac{2 P}{r^{3}}$

$V_{a x i}=\frac{1}{4 \pi \epsilon_{0}} \frac{P}{r^{2}}$

where,

angle between $E_{a x i}$ and $P$ will be $0$

Standard 12

Physics

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