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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

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BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

(a) Find the equivalent capacitance between points a and b for the group of capacitors connected as shown in Figure P16.46 if C1 = 5.00 μF, C2 = 10.00 μF, and C3 = 2.00 μF. (b) If the potential between points a and b is 60.0 V, what charge is stored on C5?

images

Figure P16.46

(a)

To determine
The equivalent capacitance.

Explanation

The capacitors C1 and C2 are connected in series combination. The equivalent capacitance is,

Cs=C1C2C1+C2

At the bottom loop, C2 and C2 are parallel. Therefore,

Cpb=C2+C2=2C2

At the top, the capacitances Cs , Cs and C3 are in parallel combination. The equivalent capacitance is,

Ceqt=Cs+Cs+C3

Therefore,

Ceqt=2C1C2C1+C2+C3

Cpb and Ceqt are in series connection. The total equivalent capacitance is,

Ceq=CpbCeqtCpb+Ceqt

Therefore,

Ceq=[2C1C2+C1C3+C2C3][2C2]4C1C2+C1C3+C2C3+2C22

Substitute 5

(b)

To determine
The charge on C3 .

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