There is a uniform electrostatic field in a region. The potential… - Vidyadip

MCQ

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 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 ?........$V$

A
$589.5$
B
$589.2$
✓
$589.4$
D
$589.6$

✓

Answer

Correct option: C.

$589.4$

c
Potential gradient is given by,

$\Delta \mathrm{V}=\mathrm{E} . \mathrm{d}$

$0.8=\mathrm{Ed}(\mathrm{max})$

$\Delta V=E d \cos \theta=0.8 \times \cos 60=0.4$

Hence, maximum potential at a point on the sphere

$=589.4\, \mathrm{V}$

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