Question

- The two spheres A and B have identical -
sizes and charge on each is 6 • 5 x 10-7C.A
third sphere C 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. Find the charge of
on three spheres A, B and C ​

Answer 1

Distance between the spheres, A and B, r = 0.5 m

Initially, the charge on each sphere, q = 6.5 × 10 −7 C

When sphere A is touched with an uncharged sphere C, q/2 amount of charge from A will transfer to sphere C. Hence, charge on each of the spheres, A and C, is q/2.

When sphere C with charge q/2 is brought in contact with sphere B with charge q, total charges on the system will divide into two equal halves given as,

1/2 (q + q/2) = 3q/4

Hence, charge on each of the spheres, C and B, is 3q/4.

Force of repulsion between sphere A having charge q/2 and sphere B having 3q/4 charge is

Therefore, the force of attraction between the two spheres is 5.703 × 10 −3 N.