Question

An electric dipole is placed along the x-axis at the origin O. A point P is at a distance of 20 cm 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. $\frac{\pi }{3}$
  
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• B. $\frac{\pi }{3}+ta{n}^{-1}\left(\frac{\sqrt{3}}{2}\right)$
  
• C. $\frac{2\pi }{3}$
  
• D. $ta{n}^{-1}\left(\frac{\sqrt{3}}{2}\right)$

Answer 1

The correct option is B $\frac{\pi }{3}+ta{n}^{-1}\left(\frac{\sqrt{3}}{2}\right)$



$\theta =\frac{\pi }{3}+\alpha$ Where $tan\alpha =\frac{1}{2}tan\frac{\pi }{3}$
$\Rightarrow \alpha =ta{n}^{-1}\frac{\sqrt{3}}{2}$ So, $\theta =\frac{\pi }{3}+ta{n}^{-1}\frac{\sqrt{3}}{2}$