Capacitors of capacitances and are connected in parallel to a battery of emf

PHYSICS · Single correct · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

Capacitors of capacitances

C

and

2C

are connected in parallel to a battery of emf

V

. The total energy stored in the combination is

U

. A third capacitor of capacitance

X

is now connected in parallel to the same battery, increasing the total stored energy to

1.5\,U

. The value of

X

is (a)

C

(b)

1.5\,C

(c)

0.5\,C

(d)

4.5\,C