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  4. Two identical copper spheres A and B have charges q each. A third copper sphere C, of the same size but uncharged is brought in contact with the sphere A and then brought in contact with the sphere B and finally removed from both. What is the final charge on C ?

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Q. Two identical copper spheres $A$ and $B$ have charges $q$ each. A third copper sphere $C,$ of the same size but uncharged is brought in contact with the sphere $A$ and then brought in contact with the sphere $B$ and finally removed from both. What is the final charge on $C ?$

Electric Charges and Fields

Solution:

On touching sphere $A$ the $C$ -sphere acquires a
charge $\frac{q}{2}$. Then on touching the sphere $B$, their total charge,
namely $\left(q+\frac{q}{2}\right)=\frac{3 q}{2}$ is shared equally. So sphere $C$
acquires $\frac{3 q}{4}$ finally.