Fundamentals of Electric Circuits

Problems 117
3.20 For the circuit in Fig. 3.69, find v 1 , v 2 , and v 3 using
nodal analysis.
3.24 Use nodal analysis and MATLAB to find V o in the
circuit of Fig. 3.73.
12 V
+ –
2i
v1 v 2
+ –
2 Ω
v 3
i
4 A
8 Ω
+ V o −
4 Ω
2 A
4 Ω 1 Ω
4 Ω
1 Ω 2 Ω 2 Ω
1 Ω
Figure 3.69
For Prob. 3.20.
3.21 For the circuit in Fig. 3.70, find v 1 and v 2 using
nodal analysis.
4 kΩ
Figure 3.73
For Prob. 3.24.
3.25 Use nodal analysis along with MATLAB to determine
the node voltages in Fig. 3.74.
v 1
2 kΩ
3v o
v 2
+
+ −
20 Ω
3 mA
1 kΩ v o
−
v 4
10 Ω
1 Ω v 2 10 Ω
v 1 v 3
30 Ω
Figure 3.70
For Prob. 3.21.
4 A 8 Ω 20 Ω
3.22 Determine v 1 and v 2 in the circuit of Fig. 3.71.
8 Ω
Figure 3.74
For Prob. 3.25.
12 V
2 Ω v 1
+ v o −
+ −
–
+
4 Ω
3 A
v 2
1 Ω
5v o
3.26 Calculate the node voltages v 1 , v 2 , and v 3 in the
circuit of Fig. 3.75.
3 A
Figure 3.71
For Prob. 3.22.
3.23 Use nodal analysis to find V o in the circuit of Fig. 3.72.
v 1
10 Ω
i o
5 Ω v 2
5 Ω
v3
30 V
1 Ω 4 Ω
2V o
+
+ − 2 Ω V o 16 Ω
3 A
−
− +
20 Ω 5 Ω
15 Ω
+
15 V
+
4i
−
−
+ −
o
10 V
Figure 3.72
For Prob. 3.23.
Figure 3.75
For Prob. 3.26.