Fundamentals of Electric Circuits
6th Edition
ISBN: 9780078028229
Author: Charles K Alexander, Matthew Sadiku
Publisher: McGraw-Hill Education
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Question
Chapter 9.3, Problem 7PP
To determine
Find the expression of the voltage
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Students have asked these similar questions
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 9 Solutions
Fundamentals of Electric Circuits
Ch. 9.2 - Practice Problem 9.1 Given the sinusoid 45 cos(5t...Ch. 9.2 - Practice Problem 9.2 Find the phase angle between...Ch. 9.3 - Prob. 3PPCh. 9.3 - Express these sinusoids as phasors: (a)...Ch. 9.3 - Find the sinusoids corresponding to these phasors:...Ch. 9.3 - If v1=10sint30V and v2=20cost+45V, find v=v1+v2.Ch. 9.3 - Prob. 7PPCh. 9.4 - If voltage v=25sin100t15V is applied to a 50F...Ch. 9.5 - Refer to Fig. 9.17. Determine v(t) and i(t).Ch. 9.7 - Determine the input impedance of the circuit in...
Ch. 9.7 - Calculate vo in the circuit of Fig. 9.27. Figure...Ch. 9.7 - Find I in the circuit of Fig. 9.30. Figure 9.30Ch. 9.8 - Design an RC circuit to provide a 90 lagging phase...Ch. 9.8 - Refer to the RL circuit in Fig. 9.36. If 10 V is...Ch. 9.8 - In the ac bridge circuit of Fig. 9.37, suppose...Ch. 9 - Which of the following is not a right way to...Ch. 9 - A function that repeats itself after fixed...Ch. 9 - Which of these frequencies has the shorter period?...Ch. 9 - If v1 = 30 sin(t + 10) and v2 = 20 sin(t + 50),...Ch. 9 - The voltage across an inductor leads the current...Ch. 9 - The imaginary part of impedance is called:...Ch. 9 - The impedance of a capacitor increases with...Ch. 9 - At what frequency will the output voltage v0(t) in...Ch. 9 - A series RC circuit has VR = 12 V and VC = 5 V....Ch. 9 - A series RCL circuit has R = 30 , XC = 50 , and XL...Ch. 9 - Given the sinusoidal voltage v(t) = 50 cos (30t +...Ch. 9 - A current source in a linear circuit has...Ch. 9 - Express the following functions in cosine form:...Ch. 9 - Design a problem to help other students better...Ch. 9 - Given v1=45sint+30V and v2=50cost30V, determine...Ch. 9 - For the following pairs of sinusoids, determine...Ch. 9 - If f() = cos + j sin , show that f() = ej.Ch. 9 - Calculate these complex numbers and express your...Ch. 9 - Evaluate the following complex numbers and leave...Ch. 9 - Design a problem to help other students better...Ch. 9 - Find the phasors corresponding to the following...Ch. 9 - Let X=440 and Y=2030. Evaluate the following...Ch. 9 - Evaluate the following complex numbers: (a)...Ch. 9 - Simplify the following expression: (a)...Ch. 9 - Evaluate these determinants: (a) 10+j62j351+j (b)...Ch. 9 - Prob. 16PCh. 9 - Two voltages v1 and v2 appear in series so that...Ch. 9 - Obtain the sinusoids corresponding to each of the...Ch. 9 - Using phasors, find: (a) 3cos20t+105cos20t30 (b)...Ch. 9 - A linear network has a current input 7.5cos10t+30A...Ch. 9 - Simplify the following: (a) ft=5cos2t+154sin2t30...Ch. 9 - An alternating voltage is given by v(t) = 55...Ch. 9 - Apply phasor analysis to evaluate the following:...Ch. 9 - Find v(t) in the following integrodifferential...Ch. 9 - Using phasors, determine i(t) in the following...Ch. 9 - Prob. 26PCh. 9 - A parallel RLC circuit has the node equation...Ch. 9 - Determine the current that flows through an 20-...Ch. 9 - Given that vc(0) = 2 cos(155) V, what is the...Ch. 9 - A voltage v(t) = 100 cos(60t + 20) V is applied to...Ch. 9 - A series RLC circuit has R = 80 , L = 240 mH, and...Ch. 9 - Using Fig. 9.40, design a problem to help other...Ch. 9 - A series RL circuit is connected to a 220-V ac...Ch. 9 - What value of will cause the forced response, vo...Ch. 9 - Find the steady-state current i in the circuit of...Ch. 9 - Using Fig. 9.43, design a problem to help other...Ch. 9 - Determine the admittance Y for the circuit in Fig....Ch. 9 - Using Fig. 9.45, design a problem to help other...Ch. 9 - For the circuit shown in Fig. 9.46, find Zeq and...Ch. 9 - In the circuit of Fig. 9.47, find io when: (a) =...Ch. 9 - Find v(t) in the RLC circuit of Fig. 9.48. Figure...Ch. 9 - Calculate vo(t) in the circuit of Fig. 9.49....Ch. 9 - Find current Io in the circuit shown in Fig. 9.50....Ch. 9 - Calculate i(t) in the circuit of Fig. 9.51. Figure...Ch. 9 - Find current Io in the network of Fig. 9.52....Ch. 9 - If vs = 100 sin(10t + 18) V in the circuit of Fig....Ch. 9 - In the circuit of Fig. 9.54, determine the value...Ch. 9 - Given that vs(t) = 20 sin (100t 40) in Fig. 9.55,...Ch. 9 - Find vs (t) in the circuit of Fig. 9.56 if the...Ch. 9 - Determine vx in the circuit of Fig. 9.57. Let...Ch. 9 - If the voltage vo across the 2- resistor in the...Ch. 9 - If V in the circuit of Fig. 9.59, find Is. Figure...Ch. 9 - Find Io in the circuit of Fig. 9.60.Ch. 9 - In the circuit of Fig. 9.61, Find Vs if Io=300A.Ch. 9 - Find Z in the network of Fig. 9.62, given that...Ch. 9 - At = 377 rad/s, find the input impedance of the...Ch. 9 - At = 1 rad/s, obtain the input admittance in the...Ch. 9 - Using Fig. 9.65, design a problem to help other...Ch. 9 - For the network in Fig. 9.66, find Zin. Let = 100...Ch. 9 - Obtain Zin for the circuit in Fig. 9.67. Figure...Ch. 9 - Find Zeq in the circuit in Fig. 9.68. Figure 9.68Ch. 9 - For the circuit in Fig. 9.69, find the input...Ch. 9 - For the circuit in Fig. 9.70, find the value of...Ch. 9 - Find ZT and Vo in the circuit in Fig. 9.71. Let...Ch. 9 - Determine ZT and I for the circuit in Fig. 9.72....Ch. 9 - For the circuit in Fig. 9.73, calculate ZT and...Ch. 9 - At = 103 rad/s, find the input admittance of each...Ch. 9 - Determine Yeq for the circuit in Fig. 9.75. Figure...Ch. 9 - Find the equivalent admittance Yeq of the circuit...Ch. 9 - Find the equivalent impedance of the circuit in...Ch. 9 - Obtain the equivalent impedance of the circuit in...Ch. 9 - Calculate the value of Zab in the network of Fig....Ch. 9 - Determine the equivalent impedance of the circuit...Ch. 9 - Design an RL circuit to provide a 90 leading phase...Ch. 9 - Design a circuit that will transform a sinusoidal...Ch. 9 - For the following pairs of signals, determine if...Ch. 9 - Refer to the RC circuit in Fig. 9.81. (a)...Ch. 9 - A coil with impedance 8 + j6 is connected in...Ch. 9 - (a) Calculate the phase shift of the circuit in...Ch. 9 - Consider the phase-shifting circuit in Fig. 9.83....Ch. 9 - The ac bridge in Fig. 9.37 is balanced when R1 =...Ch. 9 - A capacitance bridge balances when R1 = 100 , R2 =...Ch. 9 - An inductive bridge balances when R1 = 1.2 k, R2 =...Ch. 9 - The ac bridge shown in Fig. 9.84 is known as a...Ch. 9 - The ac bridge circuit of Fig. 9.85 is called a...Ch. 9 - The circuit shown in Fig. 9.86 is used in a...Ch. 9 - The network in Fig. 9.87 is part of the schematic...Ch. 9 - A series audio circuit is shown in Fig. 9.88. (a)...Ch. 9 - An industrial load is modeled as a series...Ch. 9 - An industrial coil is modeled as a series...Ch. 9 - Figure 9.91 shows a series combination of an...Ch. 9 - A transmission line has a series impedance of and...Ch. 9 - A power transmission system is modeled as shown in...
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