Two spherical conductors are separated by a distance much larger than either of their radii. Sphere A has a radius of 11.5 cm and a net charge of − 95.5 nC, whereas sphere B, which is initially neutral, has a radius of 74.4 cm. The two spheres are then connected by a thin metal wire. What is the charge on sphere B after equilibrium has been reached?

Explanation:

As the given spheres are connected by a thin wire so, the potential on the spheres are the same.

          ......... (1)

Hence, total charge will be as follows.

              = Q = -95.5 nC .......... (2)

Using the above two equations, the final equation will be as follows.

and,    

Hence, we will calculate the charge on sphere B after the equilibrium is reached as follows.

                     =

                     = 82.714 nC

Thus, we can conclude that the charge on sphere B after equilibrium has been reached is 82.714 nC.

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