Q. An electric dipole is placed along the $x -$axis at the origin $O.$ A point $P$ is at a distance of $20cm$ from this origin such that $OP$ makes an angle $\frac{\pi}{3}$ with the $x -$axis. If the electric field at $P$ makes an angle $\theta$ with the $x -$axis, the value of $\theta$ would be
A) $\frac{\pi}{3}$
B) $\frac{\pi}{3} + \tan^{- 1}\left( \frac{\sqrt{3}}{2} \right)$
C) $\frac{2\pi}{3}$
D) $\tan^{- 1}\left( \frac{\sqrt{3}}{2} \right)$
Explanation
(b) [image:1_image345.emf]
$\theta = \frac{\pi}{3} + \alpha$ where $\tan\alpha = \frac{1}{2}\tan\frac{\pi}{3}$
$\Rightarrow \alpha = \tan^{- 1}\sqrt{3}/2$ so, $\theta = \frac{\pi}{3} + \tan^{- 1}\sqrt{3}/2$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.