Question

Two capacitors each having capacitance C and breakdown voltage V are joined in series. The capacitance and the breakdown voltage of the combination will be
(a) 2 C and 2 V
(b) C/2 and V/2
(c) 2 C and V/2
(d) C/2 and 2 V.

Answer 1

(d) C/2 and 2V

Since the voltage gets added up when the capacitors are connected in series, the voltage of the combination is 2V.
Also, the capacitance of a series combination is given by
$\frac{1}{C_{\mathrm{net}}}=\frac{1}{C_1}+\frac{1}{C_2}$
Here,
C_​net​ = Net capacitance of the combination
C₁ = C₂ = C
∴ C_net = $\frac{C}{2}$