P26_081.PDF
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Chapter 26 - 26.81
81. We do not employ energy conservation since, in reaching equilibrium, some energy is dissipated either
as heat or radio waves. Charge is conserved; therefore, if
Q
=
C
1
V
bat
=24
µ
C, and
q
1
and
q
3
are the
charges on
C
1
and
C
3
after the switch is thrown to the right (and equilibrium is reached), then
Q
=
q
1
+
q
3
.
We reduce the series pair
C
2
and
C
3
to
C
=4
/
3
µ
F which has charge
q
=
q
3
and the same voltage that
we find across
C
1
. Therefore,
V
1
=
V
q
1
C
1
q
3
C
which leads to
q
1
=1
.
5
q
3
. Hence,
Q
=(1
.
5
q
3
)+
q
3
leads to
q
3
=9
.
6
µ
C.
=
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