   Chapter 16, Problem 40P

Chapter
Section
Textbook Problem

Two capacitors give an equivalent capacitance of 9.00 pF when connected in parallel and an equivalent capacitance of 2.00 pF when connected in series. What is the capacitance of each capacitor?

To determine
The capacitance of each capacitor.

Explanation

Let C1 and C2 be the capacitances.

The equivalent capacitance in parallel connection is 9.00 pF. Therefore,

C1+C2=9.00pF

The equivalent capacitance in series connection is 2.00 pF. Therefore,

C1C2C1+C2=2.00pF

From the above equations,

C1C2=18

From the 1st equation,

C2=9C1

Therefore,

C129C1+18<

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