A short electric dipole has a dipole moment of The electric potential due to the dipole at a point at a distance of 0.6 m from the centre of the dipole, situated on a line making an angle of with the dipole axis is [2020]

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Solution

Q.
A short electric dipole has a dipole moment of $16 \times 10^{- 9} C$ $m .$ The electric potential due to the dipole at a point at a distance of 0.6 m from the centre of the dipole, situated on a line making an angle of $60 °$ with the dipole axis is $(\frac{1}{4 π ε_{0}} = 9 \times 10^{9} {N m}^{2} / C^{2})$ [2020]

1 50 V

2 200 V

3 400 V

4 zero

Ans.
(2)

Potential due to dipole, $V = \frac{\vec{p} \cdot \hat{r}}{4 π ε_{0} r^{2}} = \frac{k p \cos θ}{r^{2}}$

or $V = \frac{(9 \times 10^{9}) (16 \times 10^{- 9}) \times \cos 60 °}{{(0.6)}^{2}} = 200$ $V$

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