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.

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. (A) 20 V (B) 60 V (C) 80 V (D) 40 V

Tardigrade Admin · Accepted Answer

If charge acquired by the smaller sphere is Q, then its potential 120=(k Q/2) ...(i) Also, potential of the outer sphere V=(k Q/6) ...(ii) From equations (i) and (ii), V=40 volt

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.

20 V

60 V

80 V

40 V

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

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