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, if the smaller sphere is made to touch the bigger sphere.

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, if the smaller sphere is made to touch the bigger sphere. (A) 20 V (B) 60 V (C) 80 V (D) 40 V

Tardigrade Admin · Accepted Answer

Whole of the charge of the smaller sphere will be transferred to the bigger sphere. Here, V1=120=(kQ/2) and V2=(kQ/6)=(240/6)=40 V

Q. 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, if the smaller sphere is made to touch the bigger sphere.

20 V

60 V

80 V

40 V

120V

Whole of the charge of the smaller sphere will be transferred to the bigger sphere. Here,
$V_{1} = 120 = \frac{k Q}{2}$
and $V_{2} = \frac{k Q}{6} = \frac{240}{6} = 40 V$