10 μF, and a 18 μF, and a capacitor are connected in series. How much capacitance would a single capacitor need to have to replace the three capacitors?

Question

Winston Berger

Physics

11 August, 10:42

10 μF, and a 18 μF, and a capacitor are connected in series. How much capacitance would a single capacitor need to have to replace the three capacitors?

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Answers (1)

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Tobias Carrillo · Answer 1

6.429 μ F

Explanation:

C1 = 10 μ F

C2 = 18 μ F

Let C be the equivalent capacitance of the circuit.

They are connected in series combination

1 / C = 1 / C1 + 1 / C2

1 / C = 1 / 10 + 1 / 18

1 / C = (18 + 10) / 180

1 / C = 28 / 180

C = 180 / 28 = 6.429 μ F