C ε /2, – C ε , C ε 2 /2, C ε 2 /4, (e) C ε 2 /4

Sol. Situation when S is open

C eq. = C/2

Charge supplied Q = C eq. ε =

Situation when S is closed

C eq. = C

Charge on capacitor C = C ε

After S is closed, voltage across 2C capacitor become zero, so charge on it also become zero.

So charge flown through the battery when the switch S is closed = C ε – =

the charge flown through the switch S is = C ε (A to B) = – C ε (B to A)

Work done by the battery = Q supplied V = ε =

change in energy stored in the capacitors

energy stored in 2 nd case – energy stored in 1 st case = C eq2 V 2 – C eq1 V 2 = . ε 2 =

(e) Heat developed in the system = Work done by battery – change in energy in the capacitors

= – =