Question

Effective capacitance of parallel combination of two capacitors and is . when these capacitors are individually connected to a voltage source of , the energy stored in the capacitor is 4 times that of . If these capacitors are connected in series, their effective capacitance will be:

A

B

C

D

Medium
JEE Mains

Solution

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Correct option is C)

Given that (Parallel combination)       ...(1)

They are now connected to the same voltage source of .

The energy stored in the two capacitors are given by

         

Given that


        ....(ii)

From (i) and (ii),

.

,

.

When and are connected in series, the equivalent capacitance of the combination is given by 

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