Suppose you have three identical metal spheres, a, b, and c initially sphere a carries a charge q and the others are uncharged. sphere a is brou contact and separated. finally spheres a and c are brought in contact and then separated.

The charge on sphere A and C is

Solution:

As per the question:

Charge on sphere A = q C

Now,

When sphere A with 'q' charge is brought in contact with B then conduction takes place and equal charges are distributed on both the spheres as:

Charge on each A and B is

Now, after separating both the spheres, when sphere B with charge touches uncharged sphere C, again conduction occurs and the charge is distributed as:

Now, after the charges are separated with charge on each sphere B and C

Now,

When sphere A and Sphere C with charge and comes in contact with each other, conduction takes place and charge distribution is given as: