First slide

Electrostatic potential

Question

A spherical conductor of radius 2m is charged to a potential of 120 V. It is now placed inside another hollow spherical conductor of radius 6m. Calculate the potential to which the bigger sphere would be raised

Easy

A

20 V
B

60 V
C

80 V
D

40 V

Solution

If charge acquired by the smaller sphere is Q then it’s potential
$120 = \frac{kQ}{2}$ ….(i)
Also potential of the outer sphere
$V = \frac{kQ}{6}$ …(ii)
From equation (i) and (ii) V = 40 volt

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