Question

Two capacitor each having a capacitance $C$ and breakdown voltage $V$ are joined in series. The effective capacitance and maximum working voltage of the combination is:-

• A. $2C,2V$
• B. $\frac{C}{2},\frac{V}{2}$
• C. $2C,V$
• D. $\frac{C}{2},2V$

Answer 1

The correct option is D $\frac{C}{2},2V$

In series arrangement at charge on each plate of each capacitor has the same magnitude the potential difference in distributed inversely in the ratio of capacitor ie,

V=V1+V2

V=2V

The equivalent capacitance C's is given by

1/Cs=1/C1+1/C2

Cs=C/2

answer is

2V and C/2