Question

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 θ with the x-axis, the value of $\theta$ would be

• A. $\frac{\pi }{3}$
• 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}\sqrt{\frac{3}{2}}$ So, $\theta =\frac{\pi }{3}+ta{n}^{-1}\sqrt{\frac{3}{2}}$