Fundamentals of Electric Circuits

Problems 123
i 1 i 2
3.62 Find the mesh currents i 1 , i 2 , and i 3 in the network of 3.66 Write a set of mesh equations for the circuit in
5 Ω
6 Ω
i 1 6 Ω i 2
8 Ω i I 1
R 1 V o R + 4
3
− V 1
+
12 V
− + − −
9 V
Fig. 3.106.
Fig. 3.110. Use MATLAB to determine the mesh
currents.
4 kΩ 8 kΩ 2 kΩ
10 Ω
10 Ω
100 V + − i 4 mA 2i + 1 i 2 1 i 3 − 40 V
8 Ω
4 Ω
8 Ω
Figure 3.106
12 V + +
+
For Prob. 3.62.
− 6 Ω
−
24 V
−
40 V
2 Ω 2 Ω 6 Ω
3.63 Find v x and i x in the circuit shown in Fig. 3.107.
8 Ω
i 3 4 Ω i 4
4 Ω i 5
8 Ω
i x
+
30 V +
−
−
10 Ω
32 V
Figure 3.110
v x
3 A
5 Ω
For Prob. 3.66.
4
50 V + −
+
Section 3.6 Nodal and Mesh Analyses
v x
−
2 Ω
+
−
4ix
by Inspection
3.67 Obtain the node-voltage equations for the circuit in
Figure 3.107
For Prob. 3.63.
Fig. 3.111 by inspection. Then solve for V o .
2 A
3.64 Find v o and i o in the circuit of Fig. 3.108.
50 Ω 10 Ω
4 Ω 2 Ω
i o
+ v o −
+ V o −
10 Ω
+
−
4i o
3V o 10 Ω 5 Ω
4 A
100 V + − 40 Ω
0.2v o 2 A
Figure 3.111
For Prob. 3.67.
Figure 3.108
For Prob. 3.64.
3.68 Using Fig. 3.112, design a problem, to solve for V o ,
to help other students better understand nodal
3.65 Use MATLAB to solve for the mesh currents in the
circuit of Fig. 3.109.
analysis. Try your best to come up with values to
make the calculations easier.
6 V
I
10 V
2
3 Ω 4 Ω
− +
− +
i 4
2 Ω i 5 R 2 R 3
1 Ω 1 Ω 1 Ω 1 Ω
+
Figure 3.109
For Prob. 3.65.
Figure 3.112
For Prob. 3.68.