Question

There is a uniform electrostatic field in a region. The potential at various points on a small sphere central at P, in the region, is found to vary between the limits 589.0 V to 589.8 V. What is the potential at a point on the sphere whose radius vector makes an angle of ${60}^o$ with the direction of the field?

• A. 589.5 V
• B. 589.2 V
• C. 589.4 V
• D. 589.6 V

Answer 1

The correct option is C 589.4 V

$\begin{array}{c}\Delta V=E.d\\ 0.8=Ed\left(max\right)\\ \Delta V=Ed\cos \theta \\ =0.8\times \cos {60}^0\\ =0.8\times \frac{1}{2}\\ =0.4\\ So,589.0+0.4=589.4V\end{array}$

Hence,

option $\left(C\right)$ is correct answer.