Fundamentals of Electric Circuits
6th Edition
ISBN: 9780078028229
Author: Charles K Alexander, Matthew Sadiku
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 10, Problem 31P
Use mesh analysis to determine current Io in the circuit of Fig. 10.79 below.
Figure 10.79
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2. Suppose
G₁(s) = (s+2)
G₂(s) = (s-3)
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Find the transfer function G(s):
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R(s)
shown in Figure 1. Note (a) is a cascaded (series) system, (b) is a parallel system, and
(c) is a feedback (closed-loop) system.
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(c)
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Determine the transformer's active power losses and primary voltage (Figure 1). The
busbar's voltage at the transformer's secondary side is 20.5 kV. Load P is 6 MW, and the
power factor is 0.95ind.
Select a short-circuit withstanding (1-second short circuit length) cable for Feeder 1 in
Figure 1. Values for cables are given in Table 1. The voltage of the supplying network is
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Table 1. Technical information of 3-phase cables (10 kV and 20 kV)
Product's name
EA-number
Structural information
20KV
20KV
20 KV
0624250
0624252
0624253
0624254
AHKAMK-W AHKAMKW AHKAMKWAHKAMKW AHKAMKW AHKAMKW AHKAMKW
3x50Al+35Cu 3x95 Al. 35Cu 3x120Al. 35Cu 3x150Al+35Cu 3x185Al+35Cu 3x240A1+70 Cu 3x300Al+70Cu
20kV
20kV 20 kV (8) 20KV
0624255
0624257
0624256
Diameter of conductor
Diameter of out-most circle
Cable's outer diameter
Mass
Delivery information
Standard length
Delivery reel
mm
8.0
11.3
12.7
14.1
15.7
18.1
20.3
mm
28
32
34
35
37
40
43
mm
64
71
74
76
80
89
94
aluminium
kg/km
510
910
1100
1350
1650
2200
2700
сорраг
kg/km
305
305
305
305
305
600
600
cable
kg/km
2350
3100
3450
3800
4300
5500
6250
E
500
500
500
500
500
500
500…
Chapter 10 Solutions
Fundamentals of Electric Circuits
Ch. 10.2 - Using nodal analysis, find v1 and v2 is in the...Ch. 10.2 - Calculate V1 and V2 in the circuit shown in Fig....Ch. 10.3 - Find Io in Fig. 10.8 using mesh analysis. Figure...Ch. 10.3 - Figure 10.11 For Practice Prob. 10.4. Calculate...Ch. 10.4 - Find current Io in the circuit of Fig. 10.8 using...Ch. 10.4 - Calculate vo in the circuit of Fig. 10.15 using...Ch. 10.6 - Determine the Norton equivalent of the circuit in...Ch. 10.7 - Find vo and io in the op amp circuit of Fig....Ch. 10.7 - Obtain the closed-loop gain and phase shift for...Ch. 10.8 - Use PSpice to obtain vo and io in the circuit of...
Ch. 10.8 - Obtain Vx and Ix in the circuit depicted in Fig....Ch. 10.9 - Determine the equivalent capacitance of the op amp...Ch. 10.9 - In the Wien-bridge oscillator circuit in Fig....Ch. 10 - The voltage Vo across the capacitor in Fig. 10.43...Ch. 10 - The value of the current Io in the circuit of Fig....Ch. 10 - Using nodal analysis, the value of Vo in the...Ch. 10 - In the circuit of Fig. 10.46, current i(t) is: (a)...Ch. 10 - Refer to the circuit in Fig. 10.47 and observe...Ch. 10 - For the circuit in Fig. 10.48, the Thevenin...Ch. 10 - In the circuit of Fig. 10.48, the Thevenin voltage...Ch. 10 - Refer to the circuit in Fig. 10.49. The Norton...Ch. 10 - Figure 10.49 For Review Questions 10.8 and 10.9....Ch. 10 - PSpice can handle a circuit with two independent...Ch. 10 - Determine i in the circuit of Fig. 10.50. Figure...Ch. 10 - Using Fig. 10.51, design a problem to help other...Ch. 10 - Determine vo in the circuit of Fig. 10.52. Figure...Ch. 10 - Compute vo(t) in the circuit of Fig. 10.53. Figure...Ch. 10 - Find io in the circuit of Fig. 10.54.Ch. 10 - Determine Vx in Fig. 10.55. Figure 10.55 For Prob....Ch. 10 - Use nodal analysis to find V in the circuit of...Ch. 10 - Use nodal analysis to find current io in the...Ch. 10 - Use nodal analysis to find vo in the circuit of...Ch. 10 - Use nodal analysis to find vo in the circuit of...Ch. 10 - Using nodal analysis, find io(t) in the circuit in...Ch. 10 - Using Fig. 10.61, design a problem to help other...Ch. 10 - Determine Vx in the circuit of Fig. 10.62 using...Ch. 10 - Calculate the voltage at nodes 1 and 2 in the...Ch. 10 - Solve for the current I in the circuit of Fig....Ch. 10 - Use nodal analysis to find Vx in the circuit shown...Ch. 10 - By nodal analysis, obtain current Io in the...Ch. 10 - Use nodal analysis to obtain Vo in the circuit of...Ch. 10 - Obtain Vo in Fig. 10.68 using nodal analysis.Ch. 10 - Refer to Fig. 10.69. If vs (t) = Vm sin t and vo...Ch. 10 - For each of the circuits in Fig. 10.70, find Vo/Vi...Ch. 10 - For the circuit in Fig. 10.71, determine Vo/Vs....Ch. 10 - Using nodal analysis obtain V in the circuit of...Ch. 10 - Design a problem to help other students better...Ch. 10 - Solve for io in Fig. 10.73 using mesh analysis....Ch. 10 - Use mesh analysis to find current io in the...Ch. 10 - Using mesh analysis, find I1 and I2 in the circuit...Ch. 10 - In the circuit of Fig. 10.76, determine the mesh...Ch. 10 - Using Fig. 10.77, design a problem help other...Ch. 10 - Use mesh analysis to find vo in the circuit of...Ch. 10 - Use mesh analysis to determine current Io in the...Ch. 10 - Determine Vo and Io in the circuit of Fig. 10.80...Ch. 10 - Compute I in Prob. 10.15 using mesh analysis....Ch. 10 - Use mesh analysis to find Io in Fig. 10.28 (for...Ch. 10 - Calculate Io in Fig. 10.30 (for Practice Prob....Ch. 10 - Compute Vo in the circuit of Fig. 10.81 using mesh...Ch. 10 - Use mesh analysis to find currents I1, I2, and I3...Ch. 10 - Using mesh analysis, obtain Io in the circuit...Ch. 10 - Find I1, I2, I3, and Ix in the circuit of Fig....Ch. 10 - Find io in the circuit shown in Fig. 10.85 using...Ch. 10 - Find vo for the circuit in Fig. 10.86, assuming...Ch. 10 - Using Fig. 10.87, design a problem to help other...Ch. 10 - Using the superposition principle, find ix in the...Ch. 10 - Use the superposition principle to obtain vx in...Ch. 10 - Use superposition to find i(t) in the circuit of...Ch. 10 - Solve for vo(t) in the circuit of Fig. 10.91 using...Ch. 10 - Determine io in the circuit of Fig. 10.92, using...Ch. 10 - Find io in the circuit of Fig. 10.93 using...Ch. 10 - Using source transformation, find i in the circuit...Ch. 10 - Using Fig. 10.95, design a problem to help other...Ch. 10 - Use source transformation to find Io in the...Ch. 10 - Use the concept of source transformation to find...Ch. 10 - Rework Prob. 10.7 using source transformation. Use...Ch. 10 - Find the Thevenin and Norton equivalent circuits...Ch. 10 - For each of the circuits in Fig. 10.99, obtain...Ch. 10 - Using Fig. 10.100, design a problem to help other...Ch. 10 - For the circuit depicted in Fig. 10.101, find the...Ch. 10 - Calculate the output impedance of the circuit...Ch. 10 - Find the Thevenin equivalent of the circuit in...Ch. 10 - Using Thevenins theorem, find vo in the circuit of...Ch. 10 - Obtain the Norton equivalent of the circuit...Ch. 10 - For the circuit shown in Fig. 10.107, find the...Ch. 10 - Using Fig. 10.108, design a problem to help other...Ch. 10 - At terminals a-b, obtain Thevenin and Norton...Ch. 10 - Find the Thevenin and Norton equivalent circuits...Ch. 10 - Find the Thevenin equivalent at terminals ab in...Ch. 10 - For the integrator shown in Fig. 10.112, obtain...Ch. 10 - Using Fig. 10.113, design a problem to help other...Ch. 10 - Find vo in the op amp circuit of Fig. 10.114....Ch. 10 - Compute io(t) in the op amp circuit in Fig. 10.115...Ch. 10 - If the input impedance is defined as Zin = Vs/Is,...Ch. 10 - Evaluate the voltage gain Av = Vo/Vs in the op amp...Ch. 10 - In the op amp circuit of Fig. 10.118, find the...Ch. 10 - Determine Vo and Io in the op amp circuit of Fig....Ch. 10 - Compute the closed-loop gain Vo/Vs for the op amp...Ch. 10 - Determine vo(t) in the op amp circuit in Fig....Ch. 10 - For the op amp circuit in Fig. 10.122, obtain Vo....Ch. 10 - Obtain vo(t) for the op amp circuit in Fig. 10.123...Ch. 10 - Use PSpice or MultiSim to determine Vo in the...Ch. 10 - Solve Prob. 10.19 using PSpice or MultiSim. Obtain...Ch. 10 - Use PSpice or MultiSim to find vo(t) in the...Ch. 10 - Obtain Vo in the circuit of Fig. 10.126 using...Ch. 10 - Using Fig. 10.127, design a problem to help other...Ch. 10 - Use PSpice or MultiSim to find V1, V2, and V3 in...Ch. 10 - Determine V1, V2, and V3 in the circuit of Fig....Ch. 10 - Use PSpice or MultiSim to find vo and io in the...Ch. 10 - The op amp circuit in Fig. 10.131 is called an...Ch. 10 - Figure 10.132 shows a Wien-bridge network. Show...Ch. 10 - Consider the oscillator in Fig. 10.133. (a)...Ch. 10 - The oscillator circuit in Fig. 10.134 uses an...Ch. 10 - Figure 10.135 shows a Colpitts oscillator. Show...Ch. 10 - Design a Colpitts oscillator that will operate at...Ch. 10 - Figure 10.136 shows a Hartley oscillator. Show...Ch. 10 - Refer to the oscillator in Fig. 10.137. (a) Show...
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- A three-phase 20 kV medium-voltage line is 10 km. Resistance is 0.252 2/km and reactance is 0.128 92/km (inductive). Voltage at the beginning of line is 21.0 kV. At the end of the line is loading P = 2.5 MW with power factor 0.92ind. Draw 1-phase equivalent diagram and calculate line voltage at the end the of line, active and reactive power at the beginning of the line and power losses of the line.arrow_forwardA three-phase 20 kV medium-voltage line is 10 km. Resistance is 0.365 2/km and reactance is 0.363 2/km (inductive). Voltage at the beginning of line is 20.5 kV. At the end of the line is loading P= 800 kW with power factor 0.95ind. Draw 1-phase equivalent diagram and calculate load current, line voltage at the end the of line, voltage drop and power losses of the line.arrow_forward6. Answer the following questions. Take help from ChatGPT to answer these questions (if you need). Write the answers briefly using your own words with no more than two sentences, and make sure you check whether ChatGPT is giving you the appropriate answers in our context. A) What is a model in our context? B) What is an LTI system? C) What are the three forms of model we have used in the class so far to represent an LTI system? Among the above three forms, which forms can still be used to represent a nonlinear system?arrow_forward
- 5. Consider the following block diagram of a system in the Figure 4. Y₁(s) G₁ G2. R(s) C(s) Y₂(s) G3 G4 Figure 4 The models of the blocks G1, G2, G3 and G4 are represented by a differential equation, transfer function, state-space form, and impulse response as the followings. dy1 G₁: +2y₁ = 3r(t) dt 1 G2: G₂(s) = S+3 G3: x=2x+r, y2=3x-r G4: h(t)=8(t) + et 1(t) Find the simplified expression of the overall transfer function of the system i.e., G(s) = Note for G3 block, you may need to use the formula H(s) = C (sI - A)-¹ B+ D. C(s) R(s)arrow_forward4. Simplify the block diagram in Figure 3 and find the closed-loop transfer function G(s) = C(s) R(s) G₁ R(s) Figure 3 C(s) G2 H₁ H₂arrow_forward1. Consider a system defined by the following state-space equations. -5 2 N-MAN-G = 3 -1 y = [12] Find the transfer function H(s) = x1 x2. Y(s) U(s)' + 5arrow_forward
- 3. Simplify the block diagram in Figure 2 and find the closed-loop transfer function G(s) = C(s) R(s)' G₁ C(s) R(s) G2 G3 G4 Figure 2arrow_forwardRigid network supplies Feeder 1 through 110/21 kV transformer (Figure 1). Short circuit power of the supplying network is 5000 MVA and voltage is 110 kV. Determine 3-phase short circuit current for the point A. Draw 1-phase equivalent diagram. How big is the current if the 3-phase short circuit occurs in the Busbar? 110/21 kV Busbar Supplying network S = 16MVA 4-10% Figure 1. Feeder 1: 1-5km - r = 0.337 2/km x 0.361 2/km Aarrow_forwardRigid network supplies Feeder 1 through 110/21 kV transformer (Figure 1). Short circuit power of the supplying network is 3000 MVA and voltage is 110 kV. Length of feeder 1 is 5 km. Determine 3-phase short circuit current for the point A. Draw 1-phase equivalent diagram. 110/21 kV Busbar Supplying network S = 16MVA 4-10% Feeder 1: Figure 1. - 1 = 5km r = 0.337 2/km x = 0.361 2/km Aarrow_forward
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