Question

Two conducting shperes of radii 5 and10 cm are given charge of 15 to each after the 2 spheres are connected by conducting wire the charge on smaller sphere

Answer 1

Answer:

V = k Q / R       potential of a charged sphere

Let Q = 15 the initial charge on each sphere and q the charge transferred

(Q - q) / R1 = (Q + q) / R2        where R1 = 5 and R2 = 10

                                                also the V1 = V2  after connected by the wire

(Q + q) / (Q - q) = R2 / R1 = 2

Q + q = 2 Q - 2 q

Q = 3 q        so q = 5

after the transfer  1 has charge 10   and 2 has charge 20

k 10 / 5 = k 20 / 10 = 2 k