Ch 3 solution - Lecture notes 3 PDF

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Irwin, Basic Engineering Circuit Analysis, 11/E

1

3.1 Use nodal analysis to find V1 in the circuit in Fig. P3.1. 10 kΩ

5 kΩ +

12 mA

5 kΩ

V1

4 kΩ

4 kΩ

− Figure P3.1

SOLUTION:

Chapter 03: Nodal and Loop Analysis Techniques

Problem 3.1

Irwin, Basic Engineering Circuit Analysis, 11/E

1

3.2 Find both Io and Vo in the network in Fig. P3.2 using nodal analysis. 6 kΩ

2 mA

+

3 kΩ

Vo

−

4 mA

12 kΩ

Io Figure P3.2

SOLUTION:

Chapter 03: Nodal and Loop Analysis Techniques

Problem 3.2

Irwin, Basic Engineering Circuit Analysis, 11/E

1

3.3 Find I1 in the network in Fig. P3.3.

6 mA 6 kΩ

12 kΩ

4 kΩ

4 kΩ

I1 Figure P3.3

SOLUTION:

Chapter 03: Nodal and Loop Analysis Techniques

Problem 3.3

Irwin, Basic Engineering Circuit Analysis, 11/E

1

3.4 Find I1 in the circuit in Fig. P3.4.

4 mA 2 mA

3 kΩ

4 kΩ

4 mA

I1 Figure P3.4

SOLUTION:

Chapter 03: Nodal and Loop Analysis Techniques

Problem 3.4

Irwin, Basic Engineering Circuit Analysis, 11/E

1

3.5 Use nodal analysis to find V1 in the circuit in Fig P3.5. 2 kΩ + 3 kΩ

6 mA 2 kΩ

V1

2 kΩ

4 mA − Figure P3.5

SOLUTION:

Chapter 03: Nodal and Loop Analysis Techniques

Problem 3.5

Irwin, Basic Engineering Circuit Analysis, 11/E

1

3.6 Find V1 and V2 in the circuit in Fig. P3.6 using nodal analysis.

6 mA

+ 4 mA

V1 −

4 kΩ 6 kΩ

+ V2

3 kΩ

6kΩ

−

Figure P3.6

SOLUTION:

Chapter 03: Nodal and Loop Analysis Techniques

Problem 3.6

Irwin, Basic Engineering Circuit Analysis, 11/E

1

3.7 Use nodal analysis to find both V1 and Vo in the circuit in Fig P3.7.

2 mA V1

V2 6 kΩ

12 mA

3 kΩ

2 kΩ 6 kΩ

+ 1 kΩ

Vo −

Figure P3.7

SOLUTION:

Chapter 03: Nodal and Loop Analysis Techniques

Problem 3.7

Irwin, Basic Engineering Circuit Analysis, 11/E

1

3.8 Write the node equations for the circuit in Fig. P3.8 in matrix form, and find all the node voltages. 3 mA

1 kΩ

V2

3 kΩ

V1

V3

2 kΩ

6 mA

4 kΩ

Figure P3.8

SOLUTION:

Chapter 03: Nodal and Loop Analysis Techniques

Problem 3.8

Irwin, Basic Engineering Circuit Analysis, 11/E

1

3.9 Find Vo in the network in Fig. P3.9.

4 mA

2 kΩ

1 kΩ 1 kΩ

2 mA

+

1 kΩ 1 mA

2 kΩ

Vo −

Figure P3.9

SOLUTION:

Chapter 03: Nodal and Loop Analysis Techniques

Problem 3.9

Irwin, Basic Engineering Circuit Analysis, 11/E

1

3.10 Find Io in the circuit in Fig. P3.10 using nodal analysis.

8 kΩ 2 kΩ

2 mA

1 mA 3 kΩ 6 kΩ Io Figure P3.10

SOLUTION:

Chapter 03: Nodal and Loop Analysis Techniques

Problem 3.10

Irwin, Basic Engineering Circuit Analysis, 11/E

1

3.11 Use nodal analysis to find Io in the network in Fig. P3.11. 2 mA

4 mA

4 kΩ

2 kΩ 4 kΩ 6 mA

12 kΩ Io

Figure P3.11

SOLUTION:

Chapter 03: Nodal and Loop Analysis Techniques

Problem 3.11

Irwin, Basic Engineering Circuit Analysis, 11/E

1

3.12 Use nodal analysis to find Vo in the circuit in Fig. P3.12. 6 kΩ

− 10 V +

3 kΩ +

4 kΩ

Vo

+ 12 V −

− Figure P3.12

SOLUTION:

Chapter 03: Nodal and Loop Analysis Techniques

Problem 3.12

Irwin, Basic Engineering Circuit Analysis, 11/E

1

3.13 Find Vo in the network in Fig. P3.13 using nodal analysis. +

6 kΩ 12 V

+ −

Vo

−

12 kΩ 6 kΩ

+ 6V −

Figure P3.13

SOLUTION:

Chapter 03: Nodal and Loop Analysis Techniques

Problem 3.13

Irwin, Basic Engineering Circuit Analysis, 11/E

1

3.14 Use nodal analysis to find Vo in the circuit in Fig. P3.14. 2 kΩ

4 kΩ +

12 V

+ −

2 mA

2 kΩ

Vo −

Figure P3.14

SOLUTION:

Chapter 03: Nodal and Loop Analysis Techniques

Problem 3.14

Irwin, Basic Engineering Circuit Analysis, 11/E

1

3.15 Find Io in the network in Fig. P3.15 using nodal analysis. 1 kΩ

1 kΩ

4 mA

2 kΩ

− 6V +

Io

2 mA

Figure P3.15

SOLUTION:

Chapter 03: Nodal and Loop Analysis Techniques

Problem 3.15

Irwin, Basic Engineering Circuit Analysis, 11/E

1

3.16 Use nodal analysis to find Vo in the circuit in Fig. P3.16. 2 kΩ

6 kΩ +

12 kΩ

5V

3 kΩ

+ −

Vo

6 mA

6V

− + −

Figure P3.16

SOLUTION:

Chapter 03: Nodal and Loop Analysis Techniques

Problem 3.16

Irwin, Basic Engineering Circuit Analysis, 11/E

1

3.17 Use nodal analysis to find Vo in the network in Fig. P3.17. 3 mA

4 kΩ

2 kΩ +

2 kΩ

6V

+ −

6 kΩ

1 kΩ

Vo −

Figure P3.17

SOLUTION:

Chapter 03: Nodal and Loop Analysis Techniques

Problem 3.17

Irwin, Basic Engineering Circuit Analysis, 11/E

1

3.18 Use nodal analysis to find Vo in the circuit in Fig. P3.18. 6 kΩ

4 kΩ

6 kΩ

12 V

+ −

2 kΩ +

Vo

−

4 kΩ 8 kΩ

8 kΩ

Figure P3.18

SOLUTION:

Chapter 03: Nodal and Loop Analysis Techniques

Problem 3.18

Irwin, Basic Engineering Circuit Analysis, 11/E

1

3.19 Find Vo in the circuit in Fig. P3.19 using nodal analysis. + 1 kΩ

2 mA

2 kΩ

Vo

2 kΩ 12 V

+ −

1 kΩ −

Figure P3.19

SOLUTION:

Chapter 03: Nodal and Loop Analysis Techniques

Problem 3.19

Irwin, Basic Engineering Circuit Analysis, 11/E

1

3.20 Find Vo in the network in Fig. P3.20 using nodal analysis.

+ 12 V −

1 kΩ 2 kΩ

4 mA

+ 1 kΩ

2 kΩ

Vo −

Figure P3.20

SOLUTION:

Chapter 03: Nodal and Loop Analysis Techniques

Problem 3.20

Irwin, Basic Engineering Circuit Analysis, 11/E

1

3.21 Find Vo in the network in Fig. P3.21 using nodal analysis.

+ 4V −

2 kΩ 2 kΩ

+ 12 V −

+ 4 mA

2 kΩ

Vo −

Figure P3.21

SOLUTION:

Chapter 03: Nodal and Loop Analysis Techniques

Problem 3.21

Irwin, Basic Engineering Circuit Analysis, 11/E

1

3.22 Find Io in the circuit in Fig. P3.22 using nodal analysis. 1 kΩ

4V

2 kΩ

−+ + 12 V −

− 6V +

1 kΩ

Io Figure P3.22

SOLUTION:

Chapter 03: Nodal and Loop Analysis Techniques

Problem 3.22

Irwin, Basic Engineering Circuit Analysis, 11/E

1

3.23 Use nodal analysis to determine the node voltages defined in the circuit in Fig. P3.23. V1

0.5 mS

24 V

− +

5 mA

V3 V2

V4 2 mS

0.5 mS

1 mS 3 mA

+ 12 V −

Figure P3.23

SOLUTION:

Chapter 03: Nodal and Loop Analysis Techniques

Problem 3.23

Irwin, Basic Engineering Circuit Analysis, 11/E

1

3.24 Use nodal analysis to find Vo in the network in Fig. P3.24.

1 kΩ

2 kΩ

2 kΩ 12 V

+ −

1 kΩ

+

1 kΩ 2 mA

1 kΩ

Vo −

Figure P3.24

SOLUTION:

Chapter 03: Nodal and Loop Analysis Techniques

Problem 3.24

Irwin, Basic Engineering Circuit Analysis, 11/E

1

3.25 Use nodal analysis to find Vo in the circuit in Fig. P3.25.

2 kΩ

+ 6V −

2 mA

1 kΩ

−+ 4 mA 2 kΩ

+

12 V 1 kΩ

1 kΩ

1 kΩ

Vo −

Figure P3.25

SOLUTION:

Chapter 03: Nodal and Loop Analysis Techniques

Problem 3.25

2

Problem 3.25

Irwin, Basic Engineering Circuit Analysis, 11/E

Chapter 03: Nodal and Loop Analysis Techniques

Irwin, Basic Engineering Circuit Analysis, 11/E

1

3.26 Use nodal analysis to solve for the node voltages in the circuit in Fig. P3.26. Also calculate the power supplied

by the 1-A current source. 2A

12 Ω

48 V

+ −

6Ω

4Ω

1A

Figure P3.26

SOLUTION:

Chapter 03: Nodal and Loop Analysis Techniques

Problem 3.26

Irwin, Basic Engineering Circuit Analysis, 11/E

1

3.27 Find Vo in the network in Fig. P3.27 using nodal equations. 1 kΩ

2 mA

1 kΩ

+ 6V

+ −

1 kΩ

1 kΩ

Vo −

Figure P3.27

SOLUTION:

Chapter 03: Nodal and Loop Analysis Techniques

Problem 3.27

Irwin, Basic Engineering Circuit Analysis, 11/E

1

3.28 Find Io in the network in Fig. P3.28 using nodal analysis. 4 kΩ

2 mA

3 kΩ

12 V

+ −

2 kΩ

6 kΩ Io

Figure P3.28

SOLUTION:

Chapter 03: Nodal and Loop Analysis Techniques

Problem 3.28

Irwin, Basic Engineering Circuit Analysis, 11/E

1

3.29 Use nodal analysis to find Io in the circuit in Fig. P3.29. 2 kΩ

2 mA

12 V

+ −

2 kΩ

4 mA

2 kΩ

Io Figure P3.29

SOLUTION:

Chapter 03: Nodal and Loop Analysis Techniques

Problem 3.29

Irwin, Basic Engineering Circuit Analysis, 11/E

1

3.30 Find Vo in the circuit in Fig. P3.30 using nodal analysis. 6 mA

12 kΩ

4 mA

6 kΩ

− 12 V +

+ Vo

4 kΩ

+ 9V −

− Figure P3.30

SOLUTION:

Chapter 03: Nodal and Loop Analysis Techniques

Problem 3.30

Irwin, Basic Engineering Circuit Analysis, 11/E

1

3.31 Find Io in the circuit in Fig. P3.31 using nodal analysis. 6V

6 kΩ

6 kΩ

+− 6 kΩ

12 kΩ

12 kΩ

6 kΩ Io

Figure P3.31

SOLUTION:

Chapter 03: Nodal and Loop Analysis Techniques

Problem 3.31

Irwin, Basic Engineering Circuit Analysis, 11/E

1

3.32 Use nodal analysis to find Io in the circuit in Fig. P3.32. 6V

6 kΩ

12 kΩ

+− 3V

+ −

12 kΩ

6 kΩ

− + 3V

Io Figure P3.32

SOLUTION:

Chapter 03: Nodal and Loop Analysis Techniques

Problem 3.32

Irwin, Basic Engineering Circuit Analysis, 11/E

1

3.33 Using nodal analysis, find Vo in the network in Fig. P3.33. 3V

+− 4 kΩ

2 kΩ +

6V

+ −

2 mA

6 kΩ

Vo −

Figure P3.33

SOLUTION:

Chapter 03: Nodal and Loop Analysis Techniques

Problem 3.33

Irwin, Basic Engineering Circuit Analysis, 11/E

1

3.34 Find Vo in the network in Fig. P3.34 using nodal analysis. 12 V

3 kΩ

4 kΩ

−+ 6V

+ −

4 kΩ

+ Vo

6 kΩ

2 kΩ

− Figure P3.34

SOLUTION:

Chapter 03: Nodal and Loop Analysis Techniques

Problem 3.34

Irwin, Basic Engineering Circuit Analysis, 11/E

1

3.35 Find Vo in the circuit in Fig. P3.35 using nodal analysis. 12 kΩ

6V

6 kΩ

+− + 12 V

+ −

3 kΩ

6 kΩ

Io

Vo −

Figure P3.35

SOLUTION:

Chapter 03: Nodal and Loop Analysis Techniques

Problem 3.35

Irwin, Basic Engineering Circuit Analysis, 11/E

1

3.36 Find Vo in the circuit in Fig. P3.36 using nodal analysis. 6V

−+ 2 mA

6 kΩ +

12 kΩ

12 kΩ

4 kΩ

Vo —

Figure P3.36

SOLUTION:

Chapter 03: Nodal and Loop Analysis Techniques

Problem 3.36

Irwin, Basic Engineering Circuit Analysis, 11/E

1

3.37 Use nodal analysis to find Vo in the circuit in Fig. P3.37. 12 V

+− 6 kΩ

6V

−+ + 4 kΩ

6 mA

6 kΩ

Vo −

Figure P3.37

SOLUTION:

Chapter 03: Nodal and Loop Analysis Techniques

Problem 3.37

Irwin, Basic Engineering Circuit Analysis, 11/E

1

3.38 Find Vo in the circuit in Fig. P3.38 using nodal analysis. 4 kΩ

6 kΩ

6V

2 kΩ

−+ + 6V

+ −

12 kΩ

12 kΩ

4 kΩ

Vo −

Figure P3.38

SOLUTION:

Chapter 03: Nodal and Loop Analysis Techniques

Problem 3.38

Irwin, Basic Engineering Circuit Analysis, 11/E

1

3.39 Find Vo in the circuit in Fig. P3.39 using nodal analysis. 12 V

+− 2 kΩ

1 kΩ +

1 kΩ

− + 6V

1 kΩ

Vo −

Figure P3.39

SOLUTION:

Chapter 03: Nodal and Loop Analysis Techniques

Problem 3.39

Irwin, Basic Engineering Circuit Analysis, 11/E

1

3.40 Use nodal analysis to find Vo in the circuit in Fig. P3.40.

+ 6 kΩ

6 kΩ

6 kΩ 12 V

+−

Vo − 6 kΩ

6 kΩ

Figure P3.40

SOLUTION:

Chapter 03: Nodal and Loop Analysis Techniques

Problem 3.40

Irwin, Basic Engineering Circuit Analysis, 11/E

1

3.41 Find Vo in the network in Fig. P3.41.

+ 6V −

2 kΩ

+ 12 V −

1 kΩ

2 kΩ

+−

+

2V 2 kΩ

− 4V +

1 kΩ

1 kΩ

Vo −

Figure P3.41

SOLUTION:

Chapter 03: Nodal and Loop Analysis Techniques

Problem 3.41

Irwin, Basic Engineering Circuit Analysis, 11/E

1

3.42 Find Io in the network in Fig. P3.42 using nodal analysis. 1 kΩ +

Vx

1 kΩ −

+ 12 V −

2 kΩ

+ − 2 Vx

Io Figure P3.42

SOLUTION:

Chapter 03: Nodal and Loop Analysis Techniques

Problem 3.42

Irwin, Basic Engineering Circuit Analysis, 11/E

1

3.43 Find Vo in the network in Fig. P3.43 using nodal analysis. 12 V

−+

1 kΩ Vo —— 2

+ −

2 kΩ

+ 1 kΩ

Vo −

Figure P3.43

SOLUTION:

Chapter 03: Nodal and Loop Analysis Techniques

Problem 3.43

Irwin, Basic Engineering Circuit Analysis, 11/E

1

3.44 Find Io in the network in Fig. P3.44 using nodal analysis. Ix

1 kΩ

+ 12 V −

1 kΩ

2 mA

Io

− + 4 kIx

Figure P3.44

SOLUTION:

Chapter 03: Nodal and Loop Analysis Techniques

Problem 3.44

Irwin, Basic Engineering Circuit Analysis, 11/E

1

3.45 Find Vo in the network in Fig. P3.45 using nodal analysis. 1 kΩ

2 kΩ

2 kΩ +

+ 2 Vo −

2 mA

1 kΩ

Vo −

Figure P3.45

SOLUTION:

Chapter 03: Nodal and Loop Analysis Techniques

Problem 3.45

Irwin, Basic Engineering Circuit Analysis, 11/E

1

3.46 Find Vo in the circuit in Fig. P3.46 using nodal analysis. 1 kΩ 4 Ix

Ix 1 kΩ

+

+ 12 V −

1 kΩ

1 kΩ

Vo −

Figure P3.46

SOLUTION:

Chapter 03: Nodal and Loop Analysis Techniques

Problem 3.46

Irwin, Basic Engineering Circuit Analysis, 11/E

1

3.47 Find Io in the network in Fig. P3.47 using nodal analysis. Io 1 kΩ

1 kΩ 4 Vx

+

–

+ 2 mA

1 kΩ

+ 6V –

Vx −

Figure P3.47

SOLUTION:

Chapter 03: Nodal and Loop Analysis Techniques

Problem 3.47

Irwin, Basic Engineering Circuit Analysis, 11/E

1

3.48 Use nodal analysis to find Vo in the circuit in Fig. P3.48. 10 Vx

+− 12 mA

6 kΩ

+

+ 12 kΩ

4 kΩ

Vx

8 kΩ

−

Vo −

Figure P3.48

SOLUTION:

Chapter 03: Nodal and Loop Analysis Techniques

Problem 3.48

Irwin, Basic Engineering Circuit Analysis, 11/E

1

3.49 Find Vo in the network in Fig. P3.49 using nodal analysis. + 1 kΩ