Capacitors of and are connected in series

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

Problem

Capacitors of

2\,\mu\text{F}

and

3\,\mu\text{F}

are connected in series. A third capacitor

C_x

is now added in series so that the equivalent capacitance becomes exactly

1\,\mu\text{F}

. The value of

C_x

is (a)

1.25\,\mu\text{F}

(b)

6\,\mu\text{F}

(c)

0.545\,\mu\text{F}

(d)

1.67\,\mu\text{F}