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 $589.0\, V$ to $589.8\, V$. What is the potential at a point on the sphere whose radius vector makes an angle of $60^{\circ}$ with the direction of the field ?

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

Answer 1

Answer: (C)

589.4 V

Answer 2

$\Delta V = E.d$ $0.8 = Ed \left(max\right)$ $\Delta V = Edcos\theta = 0.8 ??cos 60$ $= 0.4 589.4$