Fundamentals of Electric Circuits
6th Edition
ISBN: 9780078028229
Author: Charles K Alexander, Matthew Sadiku
Publisher: McGraw-Hill Education
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Question
Chapter 3, Problem 72P
To determine
Write the mesh-current equations for the circuit in Figure 3.116.
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For the circuit shown, let V₁ = 12 V, Is1 = 2A, Is2 = 4A, R₁ = 2, R2 = 4, and R3 = 6. Determine the current
Io using Mesh method as follows:
1. Choose all meshes that must be included, if any, to construct the supermesh.
11, 13
O 11, 12
O 12, 13, 11
12, 13
O none of the above
2. Consider mesh (loop) iz, write the corresponding expression in terms of mesh currents i₁, 12, 13 as
of the form (R11 · i₁ + R₁2 · 2 + R₁3-13 = V₁), then enter the corresponding values:
R11
R12
R13
Ω
Ω
Ω
V
V₁₂
3. Solve the above equation to determine then lo :
10
=
Ist
A
R₁
ww
ww
R₂
+
V₁
1,
R3
The relative tolerance for this problem is 7%.
ww
IS2
Enter the matrix values (numerical) to solve for mesh-currents i₁, iz and 13, for the circuit shown, using
Mesh method. In the matrix, row 1, row 2, and row 3 correspond to i₁, 12 and 13, current expressions,
respectively. Let Vs=15, R₁ =50, R₂-32, R3-8, R4-17, R5-29, and R=41.
[R11 R12 R13
The matrix values are shown here: R21 R22 R23
= V₂
R31 R32 R33
[V3]
The relative tolerance for this problem is 5%.
R1
Loop i₁
R11
+
Vs
Ω
R12
Ω
R13
Ω
V
V₁=
Loop 12
R21
Ω
R22
Ω
R23
Ω
V
V₂
Loop 13
Ω
R31
R32
Ω
R33
Ω
V3=
V
R2
R4
R3
R5
R6
For circuit shown, use Mesh method to find the voltage Vo as follows. Enter, in the matrix format, as
below, the loop currents, where row 1, and row 2, correspond to i₁, and i2 loop current expressions,
respectively. Let Vs1-5, Vs2-15, R₁=5, R₂=2, and R3=8.
The matrix values are shown here:
[R11 R12 21
R21 R22
Rx - M - M
iz
=
The relative tolerance for this problem is 5%.
Vst
(+-
R1
ww
Loop i₁
R115
G12
V₁ =
Loop 12
R21
R22
V₂=
Ω
C C
Ω
V
Ω
02
C
V
R₂
ww
VS2
+
Ry
ww
+
Vo
Use Cramer's rule (matrix), substitution, or any other method to calculate the voltages:
Chapter 3 Solutions
Fundamentals of Electric Circuits
Ch. 3.2 - Figure 3.4 For Practice Prob. 3.1. Obtain the node...Ch. 3.2 - Figure 3.6 For Practice Prob. 3.2. Find the...Ch. 3.3 - Figure 3.11 For Practice Prob. 3.3. Find v and i...Ch. 3.3 - Figure 3.14 For Practice Prob. 3.4. Find v1, v2,...Ch. 3.4 - Practice Problem 3.5 Figure 3.19 For Practice...Ch. 3.4 - Practice Problem 3.6 Figure 3.21 For Practice...Ch. 3.5 - Practice Problem 3.7 Figure 3.25 For Practice...Ch. 3.6 - By inspection, obtain the node-voltage equations...Ch. 3.6 - By inspection, obtain the mesh-current equations...Ch. 3.8 - For the circuit in Fig. 3.33, use PSpice to find...
Ch. 3.8 - Use PSpice to determine currents i1, i2, and i3 in...Ch. 3.9 - For the transistor circuit in Fig. 3.42, let =...Ch. 3.9 - The transistor circuit in Fig. 3.45 has = 80 and...Ch. 3 - At node 1 in the circuit of Fig. 3.46, applying...Ch. 3 - Figure 3.46 For Review Questions 3.1 and 3.2 In...Ch. 3 - For the circuit in Fig. 3.47, v1 and v2 are...Ch. 3 - Figure 3.47 For Review Questions 3.3 and 3.4....Ch. 3 - The circuit i in the circuit of Fig. 3.48 is:...Ch. 3 - Figure 3.48 For Review Questions 3.5 and 3.6....Ch. 3 - In the circuit of Fig. 3.49, current i1 is: (a)4 A...Ch. 3 - Figure 3.49 For Review Questions 3.7 and 3.8....Ch. 3 - The PSpice part name for a current-controlled...Ch. 3 - Which of the following statements are not true of...Ch. 3 - Using Fig. 3.50, design a problem to help other...Ch. 3 - For the circuit in Fig. 3.51, obtain v1 and v2....Ch. 3 - Find the currents I1 through I4 and the voltage vo...Ch. 3 - Given the circuit in Fig. 3.53, calculate the...Ch. 3 - Obtain vo in the circuit of Fig. 3.54. Figure 3.54...Ch. 3 - Solve for V1 in the circuit of Fig. 3.55 using...Ch. 3 - Apply nodal analysis to solve for Vx in the...Ch. 3 - Using nodal analysis, find vo in the circuit of...Ch. 3 - Determine Ib in the circuit in Fig. 3.58 using...Ch. 3 - Prob. 10PCh. 3 - Find Vo and the power dissipated in all the...Ch. 3 - Using nodal analysis, determine Vo in the circuit...Ch. 3 - Calculate v1 and v2 in the circuit of Fig. 3.62...Ch. 3 - Using nodal analysis, find vo in the circuit of...Ch. 3 - Apply nodal analysis to find io and the power...Ch. 3 - Determine voltages v1 through v3 in the circuit of...Ch. 3 - Prob. 17PCh. 3 - Determine the node voltages in the circuit in Fig....Ch. 3 - Use nodal analysis to find v1, v2 and v3 in the...Ch. 3 - For the circuit in Fig. 3.69, find v1, v2, and v3...Ch. 3 - For the circuit in Fig. 3.70, find v1 and v2 using...Ch. 3 - Determine v1 and v2 in the circuit of Fig. 3.71....Ch. 3 - Use nodal analysis to find Vo in the circuit of...Ch. 3 - Use nodal analysis and MATLAB to find Vo in the...Ch. 3 - Use nodal analysis along with MATLAB to determine...Ch. 3 - Calculate the node voltages v1, v2, and v3 in the...Ch. 3 - Use nodal analysis to determine voltages v1, v2,...Ch. 3 - Use MATLAB to find the voltages at nodes a, b, c,...Ch. 3 - Use MATLAB to solve for the node voltages in the...Ch. 3 - Using nodal analysis, find vo and io in the...Ch. 3 - Find the node voltages for the circuit in Fig....Ch. 3 - Obtain the node voltages v1, v2, and v3 in the...Ch. 3 - Which of the circuits in Fig. 3.82 is planar? For...Ch. 3 - Determine which of the circuits in Fig. 3.83 is...Ch. 3 - Figure 3.54 For Prob. 3.5. Rework Prob. 3.5 using...Ch. 3 - Use mesh analysis to obtain ia, ib, and ic in the...Ch. 3 - Using nodal analysis, find vo in the circuit of...Ch. 3 - Apply mesh analysis to the circuit in Fig. 3.85...Ch. 3 - Using Fig. 3.50 from Prob. 3.1, design a problem...Ch. 3 - Prob. 40PCh. 3 - Apply mesh analysis to find i in Fig. 3.87. Figure...Ch. 3 - Using Fig. 3.88, design a problem to help students...Ch. 3 - Prob. 43PCh. 3 - Prob. 44PCh. 3 - Prob. 45PCh. 3 - Calculate the mesh currents i1 and i2 in Fig....Ch. 3 - Rework Prob. 3.19 using mesh analysis. Use nodal...Ch. 3 - Prob. 48PCh. 3 - Find vo and io in the circuit of Fig. 3.94. Figure...Ch. 3 - Prob. 50PCh. 3 - Apply mesh analysis to find vo in the circuit of...Ch. 3 - Use mesh analysis to find i1, i2 and i3 in the...Ch. 3 - Prob. 53PCh. 3 - Find the mesh currents i1, i2, and i3 in the...Ch. 3 - In the circuit of Fig. 3.100, solve for I1, I2,...Ch. 3 - Determine v1 and v2 in the circuit of Fig. 3.101....Ch. 3 - In the circuit of Fig. 3.102, find the values of...Ch. 3 - Find i1, i2, and i3 in the circuit of Fig. 3.103....Ch. 3 - Rework Prob. 3.30 using mesh analysis. Using nodal...Ch. 3 - Prob. 60PCh. 3 - Calculate the current gain iois in the circuit of...Ch. 3 - Find the mesh currents i1, i2, and i3 in the...Ch. 3 - Find vx and ix in the circuit shown in Fig. 3.107....Ch. 3 - Find vo and io in the circuit of Fig. 3.108.Ch. 3 - Use MATLAB to solve for the mesh currents in the...Ch. 3 - Write a set of mesh equations for the circuit in...Ch. 3 - Obtain the node-voltage equations for the circuit...Ch. 3 - Prob. 68PCh. 3 - For the circuit shown in Fig. 3.113, write the...Ch. 3 - Write the node-voltage equations by inspection and...Ch. 3 - Write the mesh-current equations for the circuit...Ch. 3 - Prob. 72PCh. 3 - Write the mesh-current equations for the circuit...Ch. 3 - By inspection, obtain the mesh-current equations...Ch. 3 - Use PSpice or MultiSim to solve Prob. 3.58....Ch. 3 - Use PSpice or MultiSim to solve Prob. 3.27....Ch. 3 - Solve for V1 and V2 in the circuit of Fig. 3.119...Ch. 3 - Solve Prob. 3.20 using PSpice or MultiSim. 3.20...Ch. 3 - Prob. 79PCh. 3 - Find the nodal voltages v1 through v4 in the...Ch. 3 - Use PSpice or MultiSim to solve the problem in...Ch. 3 - If the Schematics Netlist for a network is as...Ch. 3 - The following program is the Schematics Netlist of...Ch. 3 - Prob. 84PCh. 3 - An audio amplifier with a resistance of 9 ...Ch. 3 - Prob. 86PCh. 3 - For the circuit in Fig. 3.123, find the gain...Ch. 3 - Determine the gain vo/vs of the transistor...Ch. 3 - For the transistor circuit shown in Fig. 3.125,...Ch. 3 - Calculate vs for the transistor in Fig. 3.126...Ch. 3 - Prob. 91PCh. 3 - Prob. 92PCh. 3 - Rework Example 3.11 with hand calculation. In the...
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