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Electric Charges And Fields

Question
CBSEENPH12047752

Two spherical conductors B and C having equal radii and carrying equal charges in them repel each other with a force F when kept apart at some distance. A third spherical conductor having same radius as that of B but uncharged, is brought in contact with B, then brought in contact with C and finally removed away from both. The new force of repulsion between B and C is

Solution

D.

Let the spherical conductors Band C have same charge as q. The electric force between them is

r -  being the distance between them. 

When third uncharged conductor A is brought in contact with B, then charge on each conductor.

When this conductor A is now brought in contact with C, then charge on each conductor

Hence, electric force acting between B and C is