An electric dipole is placed at the origin and is directed along the x -axis. At a point P , far away from the dipole, the electric field is parallel to the y -axis. O P makes an angle θ with the x -a

Question

An electric dipole is placed at the origin and is directed along the x -axis. At a point P , far away from the dipole, the electric field is parallel to the y -axis. O P makes an angle θ with the x -axis, then -

TestHub · Accepted Answer

Direction of electric field from axis of dipole is given by $= θ + {t a n}^{- 1} (\frac{t a n θ}{2})$

Here given that $E$ is along $y$ -axis.

$θ + {t a n}^{- 1} (\frac{t a n θ}{2}) = \frac{π}{2}$

$\frac{t a n θ}{2} = c o t θ$

$t a n θ = 2 c o t θ \Rightarrow {t a n}^{2} θ = 2$

$∴ t a n θ = \sqrt{2}$

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