Question

There is a uniform electrostatic field in a region. The potential at various points on a small sphere centred at $P$, in the region, is found to vary between the limits $589.0V$ to $589.8V$. 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. $589.2V$
• B. $589.5V$
• C. $589.6V$
• D. $589.4V$

Answer 1

The correct option is D $589.4V$

$\Delta V=E.d.$

$=Edcos\theta =0.8\times \cos {60}^0$

$=0.4$

Hence the new potential at the point on the sphere is

$589.0+0.4=589.4V$