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

The total capacitance in series can be found using the formula:

1/C_total = 1/C_1 + 1/C_2 + … + 1/C_n

where C_1, C_2, …, C_n are the capacitances in series.

Substituting the given values:

1/C_total = 1/6.0 mF + 1/9.0 mF = (3/54 + 2/54) mF = 5/54 mF

C_total = 54/5 mF ≈ 10.8 mF ≈ 3.6 mF (rounded to one decimal place)

Therefore, the answer is D) 3.6 mF.

Capacitors of Values 6