First slide

Pontial due to

Question

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

Moderate

A

20 V
B

60 V
C

80 V
D

40 V

Solution

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

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