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Unformatted text preview: Figure 21: An Arrangement of Capacitors
Part a
We begin as usual by ﬁnding a pair of capacitors between A and B which are strictly in series
or in parallel. Since the 6C and the 4C capacitor are in series, we will start with them. Their
equivalent capacitance is
12C
1
K1 = 1
1=5
6C + 4C
This equivalent capacitor is now in parallel with the 2C capacitor. Therefore,
K2 = 2C + 22C
12C
=
5
5 Finally, this equivalent capacitor is in series with the C capacitor.
KAB = 1
C 1
22C
5 = 27 = 46.7 µF
+ 22C Part b
From A to D we proceed in a similar manner. The 2C and 6C capacitors are in series.
K1 = 1
2C 1
+ 1
6C = 3C
2 This equivalent capacitor is in parallel with the 4C capacitor.
K2 = 4C + 3C
11C
=
2
2 Finally, this equivalent capacitor is in series with the C capacitor.
KAD = 7 1
C 1
11C
2 = 13 = 42.3 µF
+ 11C Chapter 26: Current and Resistance In the preceding ﬁve chapters we have spent a lot of time learning the principles of electrostatics.
The subject is called electrostatics because it is the physics of stationary charges. In this and
subsequent chapters we will analyze some of what happens when charges are moving (particularly
in large quantities). This subject is generally called magnetostatics, a term which will become
more clear in the future. 7.1 Electric Current The central idea of moving charges is called current. Current is deﬁned as
i= dq
dt 26 (22) ...
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This note was uploaded on 12/05/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.
 Spring '08
 Any
 Physics

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