Two capacitors of values 6.0 mF and 9.0 mF are connected in series. What is the capacitance of the combination?
A) 15 mF
B) 7.5 mF
C) 3.0 mF
D) 3.6 mF
E) 54 mF

Question

Quizplus · Accepted Answer

When capacitors are connected in series, the inverse of their capacitance is added together, then inverted again to find the net capacitance. So,

1/C = 1/C1 + 1/C2

1/C = 1/6.0 x 10^-3 + 1/9.0 x 10^-3

1/C = (9 + 6) / (54 x 10^-6)

C = 54 x 10^-6 / 15 = 3.6 x 10^-3 F = 3.6 mF

Therefore, the answer is D.

Two Capacitors of Values 6