Two insulated charged copper spheres $A$ and $B$ of identical size have charges $q_{A}$ and $q_{B}$ respectively. A third sphere $C$ of the same size but uncharged is brought in contact with the first and then in contact with the second and finally removed from both. What are the new charges on $A$ and $B$ ?

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Solution

New charge on $A$ is $\frac{q_{A}}{2}$ and new charge on $B$ is $\frac{q_{A} + 2 q_{B}}{4}$ .

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Similar questions

Q. Two insulated charged copper spheres

A

and

B

of identical size have charges

q_{A}

and

- 3 q_{A}

respectively. When they are brought in contact with each other and then separated, what are the new charges on them?

Exercise:

[

Two insulated charged copper spheres A and B have their centres separated by a distance of 50 cm. The charge on each is

6.5 \times 10^{7}

C? The radii of A and B are negligible compared to the distance of separation.

]

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\begin{matrix} Suppose the spheres A and B in above question have identical sizes. A third sphere of the same size but uncharged is brought in contact with the first, then brought in contact with the second, and finally removed from both. What is the new force of repulsion between A and B? \end{matrix}

Q. Suppose the spheres A and B in Exercise 1.12 have identical sizes.A third sphere of the same size but uncharged is brought in contactwith the first, then brought in contact with the second, and finallyremoved from both. What is the new force of repulsion between Aand B?

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Two insulated charged copper spheres A and B of identical size have charges qA and qB respectively. A third sphere C of the same size but uncharged is brought in contact with the first and then in contact with the second and finally removed from both. What are the new charges on A and B?

New charge on A is qA2 and new charge on B is qA+2qB4.

New charge on $A$ is $\frac{q_{A}}{2}$ and new charge on $B$ is $\frac{q_{A} + 2 q_{B}}{4}$ .