A conducting sphere of radius R, and carrying a charge q is joined to a conducti

Question

A conducting sphere of radius R, and carrying a charge q is joined to a conducting sphere of radius 2R, and carrying a charge – 2q. The charge flown between them will be?

Options:

A . q3

B . 2q3

C . q

D . 4q3

Answer: Option D
:
D
Initial charge on sphere of radius R = q
Charge on this sphere after joining

= q^{'} = \frac{R q + (- 2 q) \times R}{R + 2 R} = \frac{- q \times R}{3 R} = \frac{- q}{3}

So charge flown between them

= q - (- \frac{q}{3}) = \frac{4 q}{3}

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