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 in limits 589.0V to 589.8 V. What is the potential at a point on the sphere whose radius vector makes an angle of `60^(@)` with the direction of the field ?

Options

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

Answer

C

Explanation

Potential gradient is given by
`DeltaV=E.d`
`0.8-Ed` (max)
`DeltaV=Edcos theta=0.8xxcos 60 =0.4`
Hence maximum potential at a point on the sphere =589.4V