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

Options

• 2 C and 2 V

• C/2 and V/2

• 2 C and V/2

• C/2 and 2 V.

Answer 1

C/2 and 2 V.

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 

`1/C_"net" = 1/C_1 + 1/C_2` 

Here , 

C_net = Net capacitance of the combination

`C_1 = C_2 = C`

`therefore` `C_"net" = C/2`