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2. Electric Potential and Capacitance
hard
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
$589.2$
C
$589.4$
D
$589.6$
(JEE MAIN-2017)
Solution
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
$=589.4\, \mathrm{V}$
Standard 12
Physics
