Question

A 5.0 uF and a 12.0 uF capacitor are connected in series. and the series arrangement is connected in parallel to a 29.0 uF capacitor. what is the equivalent capacitance (in uF) of the network?

A) 13
B) 16
C) 33
D) 38

Answer 1

The equivalent capacitance (in uF) of the network is determined as 33 uF. (Option C).

How to calculate the equivalent capacitance?

The equivalent capacitance (in uF) of the network is calculated as follows.

Equivalent capacitance in series;

1/C = 1/C₁ + 1/C₂

1/C = 1/5 + 1/12

1/C = (12 + 5)/60

1/C = 17/60

C = 60 / 17

C = 3.53 uF

Equivalent capacitance in parallel;

C = 29 uF + 3.53 uF

C = 32.53 uF

C = 33 uF

Thus, the equivalent capacitance (in uF) of the network is determined as 33 uF.