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120
CHAPTER 18
18.29
Applying Kirchhoff’s junction rule at
junction
a
gives
(1)
Using Kirchhoff’s loop rule on the leftmost
loop yields
31
III
=+
(
2
) ( )
4.00
5.00
12.0 V
0
II
−
+
9
.
0
0
A
()
(
3.00 V
−−
13
54
+=
=
or
(2)
and for the rightmost loop,
)
32
4.00
3.00
2.00
18.0
−+ +
15.0 A
12
3
A,
1.523 A, and
1.846 A
I
==
=
3.00 V
23
5
4
0.323
(
V
0
=
or
(3)
Solving equations (1), (2), and (3) simultaneously gives
Therefore, the potential differences across the resistors are
)
22
2
VI
∆=
.00
3.05 V
Ω
=
,
( )
3.00
4.5
Ω
7 V
=
( )
43
4
.00
7.3
Ω
8 V
=
, and
( )
51
5
.00
1.62 V
Ω
=
18.30
The time constant is
RC
τ
=
(
. Considering units, we find
)
Volts
Coulombs
Coulombs
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This note was uploaded on 12/09/2011 for the course PHYS 2020 taught by Professor Staff during the Fall '10 term at FIU.
 Fall '10
 STAFF
 Physics, Current

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