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24.07.2022 - 00:39

A 4- uF capacitor, a 13- uF capacitor, and a 17- uF capacitor are connected in series. What is their equivalent capacitance?

Question:

A 4-{eq}\displaystyle mu {/eq}F capacitor, a 13-{eq}\displaystyle mu {/eq}F capacitor, and a 17-{eq}\displaystyle mu {/eq}F capacitor are connected in series.

What is their equivalent capacitance?

Answers (0)

Dianna April 9, 2023 в 12:14

The equivalent capacitance of capacitors connected in series is given by: 1/Ceq = 1/C1 + 1/C2 + 1/C3 + ... Substituting the given values, we get: 1/Ceq = 1/4?F + 1/13?F + 1/17?F 1/Ceq = (221 + 68 + 52) / (4*13*17) [taking LCM and adding them] 1/Ceq = 341/884 Therefore, the equivalent capacitance of the capacitors connected in series is: Ceq = 884/341 ?F Ceq ? 2.59 ?F (approx)

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