Question

A short electric dipole has a dipole moment of $16\times {10}^{-9}\text{C}\cdot \text{m}$. The electric potential due to the dipole at a point at a distance of $0.6\text{m}$ from the centre of the dipole, situated on a line making an angle of ${60}^{\circ }$ with the dipole axis is :

• A. $400\text{V}$
• B. Zero
• C. $50\text{V}$
• D. $200\text{V}$

Answer 1

The correct option is D $200\text{V}$

Electric potential at a distance \(r\) at an angle $\theta$ with respect to centre of the dipole is given by,

$$V=\frac{kP\cos \theta }{r^2}$$

$\Rightarrow V=\frac{9\times {10}^9\times 16\times {10}^{-9}\times \frac{1}{2}}{(0.6{)}^2}$

$\Rightarrow V=200\text{V}$