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Chapter 26: Q. 25 (page 738)

A 6mFcapacitor, a 10mFcapacitor, and a 16mFcapacitor are connected in series. What is their equivalent capacitance?

Short Answer

Expert verified

The capacitance is3渭F.

Step by step solution

01

Given information

We have given that A6mFcapacitor, a 10mFcapacitor, and a 16mFcapacitor are connected in series.

We need to find that their equivalent capacitance.

02

Simplify

Let C1=6muf,C2=16渭F, and C3=16渭F. The capacity of a set of capacitors connected in series satisfies

1C=1C1+1C2+1C3.

By further solving,

1C=C1C2+C2C3+C1C3C1C2C3'

or

C=C1C2C3C1C2+C2C3+C1C3

Substituting the given values we find the following

C=3渭F.

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