Question

A circuit contains a 20 pF capacitor and a 60 pF capacitor connected in series. What's the total capacitance of the circuit?

A. 80 uF
B. 12 pF
C. 30 HF
D. 15 pF

Answer 1

The total capacitance of circuit is 15 pF

Solution:

The total capacitance when two capacitors are connected in series is:

`C_(total) = (C_1 * C_2)/(C_1 + C_2)`

From given,

A circuit contains a 20 pF capacitor and a 60 pF capacitor connected in series

`C_1 = 20\ pF\\\\C_2 = 60\ pF`

Substituting the values we get,

`C_(total ) = ( 20 * 60)/(20 + 60)\\\\C_(total ) = ( 1200)/(80)\\\\C_(total ) = 15`

Thus the total capacitance of circuit is 15 pF