Download Problem 3.12 The magnitude of the dependent current source in the

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Problem 3.12 The magnitude of the dependent current source in the circuit of
Fig. P3.12 depends on the current Ix flowing through the 10-Ω resistor. Determine Ix .
5Ω
Ix
10 Ω V1
+
_ 12.3 V 4 Ω
20 Ω
V2
2Ix
2Ω
Figure P3.12: Circuit for Problem 3.12.
Solution: In terms of the designated node voltages V1 and V2 , KCL gives:
Node 1:
Node 2:
V1 − 12.3 V1 V1 −V2
+ +
=0
10
4
20
V2 −V1 V2 − 12.3 V2
+
+ − 2Ix = 0
20
5
2
(1)
(2)
In addition,
12.3 −V1
.
10
Solution of the three equations leads to:
(3)
Ix =
V1 = 3.8 V,
V2 = 5.8 V,
Ix = 0.85 A.
c
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National Technology and Science Press
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