Question

Two condensers, one of capacity C and other of
capacity C/2 are connected to a V-volt battery,
as shown.
The work done in charging fully both the
condensers is (diagram)
(a) 1 CV² (b) 3 CV²
4 4
(c) 1 CV² (d) 2 CV²
2

Answer 1

Answer:

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The two condensers in the circuit are in parallel order, hence C

′

=C+

2

C

=

2

3C

The work done in charging the equivalent capacitor is stored in the form of potential energy

Hence, W=U=

2

1

C

′

V

2

=

2

1

(

2

3C

)V

2

=

4

3

CV

2

.

Answer 2

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