Basic Engineering Circuit Analysis
11th Edition
ISBN: 9781118539293
Author: J. David Irwin, R. Mark Nelms
Publisher: WILEY
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Textbook Question
Chapter 5, Problem 35P
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Find Laplace transform and the corresponding ROC for
x(t) = e−3sin(2t) u(t)dt
Three similar coils, connected in star, take a total
power of 1.5 kW, at a power factor of 0.2, from a
three-phase, 400 V, 50 Hz supply. Calculate: (a) the
resistance and inductance of each coil; (b) the line
currents if one of the coils is short-circuited.
(a) Three 20 µF capacitors are star-connected across
a 400 V, 50 Hz, three-phase, three-wire supply.
Calculate the current in each line. (b) If one of the
capacitors is short-circuited, calculate the line cur
rents. (c) If one of the capacitors is open-circuited,
calculate: the line currents and the p.d. across each
of the other two capacitors.
ANS:
1.525 A; 2.64 A, 2.64 A, 4.57 A; 1.32 A, 1.32 A, 0;
210 V
Chapter 5 Solutions
Basic Engineering Circuit Analysis
Ch. 5 - Find Io in the network in Fig. P5.1 using...Ch. 5 - Find Io in the network in Fig. P5.2 using...Ch. 5 - Find Io in the network in Fig. P5.3 using...Ch. 5 - Find Vo in the network in Fig. P5.4 using...Ch. 5 - Find Io in the circuit in Fig. P5.5 using...Ch. 5 - Find Io in the network in Fig. P5.6 using...Ch. 5 - Find Io in the circuit in Fig. P5.7 using...Ch. 5 - Find Vo in the network in Fig. P5.8 using...Ch. 5 - Find Vo in the network in Fig. P5.9 using...Ch. 5 - In the network in Fig. P5.l0, find using...
Ch. 5 - Find Io in the network in Fig. P5.11 using...Ch. 5 - Find Io in the network in Fig. P5.12 using...Ch. 5 - Find IA in the network in Fig. P5.13 using...Ch. 5 - Using superposition, find IA in the circuit in...Ch. 5 - Find IA in the network in Fig. P5.15 using...Ch. 5 - Using superposition, find Vo in the network in...Ch. 5 - Use superposition to find Io in the circuit in...Ch. 5 - Use superposition to find Io in the network in...Ch. 5 - Use superposition to find Vo in the circuit in...Ch. 5 - Find Vo in the circuit in Fig. P5.20 using...Ch. 5 - Find Io in the circuit in Fig. P5.21 using...Ch. 5 - Use superposition to find Io in the circuit in...Ch. 5 - Use superposition to find Io in the network in...Ch. 5 - Use superposition to find Io in the circuit in...Ch. 5 - Use Thévenins theorem to find Vo in the network...Ch. 5 - Use Thévenins theorem to find in the network in...Ch. 5 - Use Thévenins theorem to find Vo in the network...Ch. 5 - Find Io in the network in Fig. P5.28 using...Ch. 5 - Find Vo in the network in Fig. P5.28 using...Ch. 5 - Use Thévenins theorem to find 10 in the network...Ch. 5 - Find Vo in the network in Fig. P5.31 using...Ch. 5 - Find Io in the circuit in Fig. P5.32 using...Ch. 5 - Find Io in the network in Fig. P5.33 using...Ch. 5 - Find Io in the network in Fig. P5.34 using...Ch. 5 - Find Io in the circuit in Fig. P5.35 using...Ch. 5 - Find Io in the network in Fig. P5.36 using...Ch. 5 - Using Thévenins theorem, find IA in the circuit...Ch. 5 - Find Vo in the network in Fig. P5.38 using...Ch. 5 - Find Vo in the circuit in Fig. P5.39 using...Ch. 5 - Find Io in the circuit in Fig. P5.40 using...Ch. 5 - Find Vo in the network in Fig. P5.41 using...Ch. 5 - Find Io in the network in Fig. P5.42 using...Ch. 5 - Find Vo in Fig. P5.43 using Thévenins theorem.Ch. 5 - Use Thévenins theorem to find Vo in the circuit...Ch. 5 - Use Thévenins theorem to find Io in Fig. P5.45.Ch. 5 - Find Vo in the network in Fig. P5.46 using...Ch. 5 - Use Thévenins theorem to find Io in the network...Ch. 5 - Use Thévenins theorem to find Io in the circuit...Ch. 5 - Given the linear circuit in Fig. P5.49, it is...Ch. 5 - If an 8-k load is connected to the terminals of...Ch. 5 - Use Nortons theorem to find Io in the circuit in...Ch. 5 - Find Io in the network in Fig. P5.52 using Nortons...Ch. 5 - Use Nortons theorem to find Io in the circuit in...Ch. 5 - Use Nortons theorem to find Vo in the network in...Ch. 5 - Find Io in the network in Fig. P5.55 using Nortons...Ch. 5 - Use Nortons theorem to find Vo in the network in...Ch. 5 - Find Vo in the network in Fig. P5.57 using Nortons...Ch. 5 - Use Nortons theorem to find Io in the circuit in...Ch. 5 - Find Vo in the circuit in Fig. P5.59 using Nortons...Ch. 5 - Use Nortons theorem to find Io in the network in...Ch. 5 - Use Nortons theorem to find Io in the circuit in...Ch. 5 - In the network in Fig. P5.62, find Vo using...Ch. 5 - Use Thévenins theorem to find 10 in the circuit...Ch. 5 - Find Vo in the network in Fig. P5.64 using...Ch. 5 - Use Thévenins theorem to find Vo in the circuit...Ch. 5 - Find Io in the circuit in Fig. P5.66 using...Ch. 5 - Use Thévenins theorem to find Io in the circuit...Ch. 5 - Use Thévenins theorem to find Vo in the circuit...Ch. 5 - Find Vo in the network in Fig. P5.69 using...Ch. 5 - Use Nortons theorem to find Vo in the network in...Ch. 5 - Find Vo in the circuit in Fig. P5.71 using...Ch. 5 - Find Vo in the network in Fig. P5.72 using...Ch. 5 - Find Vo in the network in Fig. P5.73 using Nortons...Ch. 5 - Use Thévenins theorem to find the power supplied...Ch. 5 - Find Vo in the circuit in Fig. P5.75 using...Ch. 5 - Find Vo in the network in Fig. P5.76 using...Ch. 5 - Find Vo in the network in Fig. P5.77 using...Ch. 5 - Use Thévenins theorem to find I2 in the circuit...Ch. 5 - Use Thévenins theorem to find Vo in the circuit...Ch. 5 - Use Thévenins theorem to find Vo in the circuit...Ch. 5 - Use Thévenins theorem to find Io in the network...Ch. 5 - Use Thévenins theorem to find Vo in the network...Ch. 5 - Find the Thévenin equivalent of the network in...Ch. 5 - Find the Thévenin equivalent of the network in...Ch. 5 - Find the Thévenin equivalent of the circuit in...Ch. 5 - Find the Thévenin equivalent of the network in...Ch. 5 - Find the Thévenin equivalent circuit of the...Ch. 5 - Find Vo in the network in Fig. P5.88 using source...Ch. 5 - Find Io in the network in Fig. P5.89 using source...Ch. 5 - Use source transformation to find Vo in the...Ch. 5 - Find 10 in the network in Fig. P5.91 using source...Ch. 5 - Find Vo in the network in Fig. P5.92 using source...Ch. 5 - Use source transformation to find Io in the...Ch. 5 - Find the Thévenin equivalent circuit of the...Ch. 5 - Find Io in the circuit in Fig. P5.95 using source...Ch. 5 - Find Io in the network in Fig. P5.96 using source...Ch. 5 - Find Io in the network in Fig. P5.97 using source...Ch. 5 - Find Vo in the network in Fig. P5.98 using source...Ch. 5 - Find Io in the network in Fig. P5.99 using source...Ch. 5 - Find in the circuit in Fig. P5.100 using source...Ch. 5 - Use source transformation to find Io in the...Ch. 5 - Using source transformation, find Vo in the...Ch. 5 - Use source transformation to find Io in the...Ch. 5 - Use source transformation to find Io in the...Ch. 5 - Use source transformation to find 10 in the...Ch. 5 - Using source transformation, find 10 in the...Ch. 5 - Use source exchange to find Io in the network in...Ch. 5 - Use a combination of Y- transformation and source...Ch. 5 - Use source exchange to find Io in the circuit in...Ch. 5 - Use source exchange to find Io in the network in...Ch. 5 - Use source exchange to find Io in the network in...Ch. 5 - Find RL in the network in Fig. P5.112 in order to...Ch. 5 - In the network in Fig. P5.113, find RL for maximum...Ch. 5 - Find RL for maximum power transfer and the maximum...Ch. 5 - Find RL for maximum power transfer and the maximum...Ch. 5 - Find RL for maximum power transfer and the maximum...Ch. 5 - Find RL for maximum power transfer and the maximum...Ch. 5 - Determine the value of RL in the network in Fig....Ch. 5 - Find RL for maximum power transfer and the maximum...Ch. 5 - Find the value of RL in the network in Fig. P5.120...Ch. 5 - Find the value of RL for maximum power transfer...Ch. 5 - Find the maximum power that can be transferred to...Ch. 5 - In the network in Fig. P5.123, find the value of...Ch. 5 - In the network in Fig. P5.124, find the value of...Ch. 5 - Find the value of RL in Fig. P5.125 for maximum...Ch. 5 - Calculate the maximum power that can be...Ch. 5 - Find RL for maximum power transfer and the maximum...Ch. 5 - Find the value of RL in Fig. P5.128 for maximum...Ch. 5 - A cell phone antenna picks up a call. If the...Ch. 5 - Some young engineers at the local electrical...Ch. 5 - Determine the maximum power that can be delivered...Ch. 5 - Find the value of the load RL in the network in...Ch. 5 - Find the value of RL in the network in fig. 5PFE-3...Ch. 5 - What is the current I in Fig. 5PFE4? a. 8 Ac. 0 A...Ch. 5 - What is the open-circuit voltage Voc at terminals...
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- Explain the advantages of three-phase supply for distribution purposes. (b) Assuming the relationship between the line and phase values of currents and voltages, show that the active power input to a three-phase balanced load is √3VI cos φ, where V and I are line quantities. (c) Three similar inductors, each of resistance 10 Ω and inductance 0.019 H, are delta-connected to a three-phase, 400 V, 50 Hz sinusoidal supply. Calcu late: the value of the line current; the power factor and the active power input to the circuit. ANS: 59.5 A, 0.858 lag, 35.5 kWarrow_forwardnot use ai pleasearrow_forwardA three-phase, 400 V, star-connected motor has an output of 50 kW, with an efficiency of 90 per cent and a power factor of 0.85. Calculate the line current. Sketch a phasor diagram showing the voltages and currents. If the motor windings were connected in mesh, what would be the correct voltage of a three phase supply suitable for the motor? ANS: 90.8 A, 240 Varrow_forward
- Don't use ai to answer I will report you answerarrow_forwardShow with the aid of a phasor diagram that for both star- and delta-connected balanced loads, the total active power is given by √3VI cos φ, where V and I are the line values of voltage and current respectively and φ is the angle between phase values of voltage and current. A balanced three-phase load consists of three coils, each of resistance 4 Ω and inductance 0.02 H. Determine the total active power when the coils are (a) star-connected, (b) delta-connected to a 400 V, three phase, 50 Hz supply. ANS:11.56 kW, 34.7 kWarrow_forwardThe load connected to a three-phase supply comprises three similar coils connected in star. The line currents are 25 A and the apparent and active power inputs are 20 kVA and 11 kW respectively. Find the line and phase voltages, reactive power input and the resistance and reactance of each coil. If the coils are now con nected in delta to the same three-phase supply, calculate the line currents and the active power taken. ANS : 462 V, 267 V, 16.7 kvar, 5.87 Ω, 8.92 Ω; 75 A, 33 kWarrow_forward
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- Deduce the relationship between the phase and the line voltages of a three-phase star-connected generator. If the phase voltage of a three-phase star-connected generator is 200 V, what will be the line voltages: (a) when the phases are correctly connected; (b) when the connections to one of the phases are reversed? ans: 346 V; 346 V, 200 V, 200 Varrow_forwardQ2: Given a discrete sequence x(n) = [1,-1,2,4, 1, 3,-1,1] and its spectrum X(k): i. Show that: X(k) =G(k)+WH(k) k=0,1,2,3,4,5,6,7 where G(k) = DFT[g(n)] and H(k) = DFT[h(n)], g(n) and h(n) are even and odd components of x(n) respectively. ii. Compute G(k) and H(k) using the method of computation of DFTS of two real sequences. (15 marks)arrow_forwardQ2: Given a discrete sequence x(n) = [1,-1,2,4, 1, 3,-1,1] and its spectrum X(k): i. Show that: X(k) = G(k)+WH(k) k = 0,1,2,3,4,5,6,7 where G(k) = DFT[g(n)] and H(k) = DFT[h(n)], g(n) and h(n) are even and odd components of x(n) respectively. ii. Compute G(k) and H(k) using the method of computation of DFTS of two real sequences.arrow_forward
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