First slide

Electric dipole

Question

Two short dipoles each of dipole moment p are placed at origin. The dipole moment of one dipole is along x-axis, while that of other is along y-axis. The electric field at a point (a, 0) is given by $(k = \frac{1}{4 π ε_{0}})$

Moderate

A

$\frac{k 2 p}{a^{3}}$
B

$\frac{k p}{a^{3}}$
C

$z e r o$
D

$\frac{k \sqrt{5} p}{a^{3}}$

Solution

$f o r o n e d i p o l e i t i s o n t h e a x i a l l i n e E_{1} = k \frac{2 p}{a^{3}} a n d f o r o t h e r i t i s o n t h e e q u a t o r i a l l i n e E_{2} = k \frac{p}{a^{3}} a s t h e y a r e p e r p e n d i c u l a r r e s u l \tan t i s E = \sqrt{E_{1}^{2} + E_{2}^{2}}$

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