Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf
9th Edition
ISBN: 9781259989452
Author: Hayt
Publisher: Mcgraw Hill Publishers
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 12, Problem 28E
A three-phase load is to be powered by a three-wire, three-phase, Y-connected source having phase voltage of 400 V and operating at 50 Hz. Each phase of the load consists of a parallel combination of a 500 Ω resistor, 10 mH inductor, and 1 mF capacitor. (a) Compute the line current, line voltage, phase current, and power factor of the load if the load is also Y-connected. (b) Rewire the load so that it is Δ-connected, and find the same quantities requested in part (a).
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
"I need something clear written by hand
with steps."
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 12 Solutions
Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf
Ch. 12.1 - Let and . Find (a) Vad; (b) Vbc; (c) Vcd.Ch. 12.2 - Prob. 2PCh. 12.2 - Modify Fig. 12.9 by adding a 1.5 resistance to...Ch. 12.3 - A balanced three-phase three-wire system has a...Ch. 12.3 - A balanced three-phase three-wire system has a...Ch. 12.3 - Three balanced Y-connected loads are installed on...Ch. 12.4 - Each phase of a balanced three-phase -connected...Ch. 12.4 - Prob. 8PCh. 12.5 - Determine the wattmeter reading in Fig. 12.24,...Ch. 12.5 - Prob. 10P
Ch. 12 - Prob. 1ECh. 12 - Prob. 2ECh. 12 - Prob. 3ECh. 12 - Describe what is meant by a polyphase source,...Ch. 12 - Prob. 5ECh. 12 - Prob. 6ECh. 12 - Prob. 7ECh. 12 - Prob. 8ECh. 12 - Prob. 9ECh. 12 - Prob. 10ECh. 12 - The single-phase three-wire system of Fig. 12.31...Ch. 12 - Prob. 12ECh. 12 - Referring to the balanced load represented in Fig....Ch. 12 - Prob. 14ECh. 12 - Prob. 15ECh. 12 - Consider a simple positive phase sequence,...Ch. 12 - Assume the system shown in Fig. 12.34 is balanced,...Ch. 12 - Repeat Exercise 17 with Rw = 10 , and verify your...Ch. 12 - Prob. 19ECh. 12 - Prob. 20ECh. 12 - Prob. 21ECh. 12 - Prob. 22ECh. 12 - A three-phase system is constructed from a...Ch. 12 - Prob. 24ECh. 12 - Each load in the circuit of Fig. 12.34 is composed...Ch. 12 - Prob. 26ECh. 12 - Prob. 27ECh. 12 - A three-phase load is to be powered by a...Ch. 12 - For the two situations described in Exercise 28,...Ch. 12 - Prob. 30ECh. 12 - Prob. 31ECh. 12 - Prob. 32ECh. 12 - Repeat Exercise 32 if Rw = 1 . Verify your...Ch. 12 - Prob. 34ECh. 12 - Prob. 35ECh. 12 - Prob. 36ECh. 12 - A wattmeter is connected into the circuit of Fig....Ch. 12 - Find the reading of the wattmeter connected in the...Ch. 12 - (a) Find both wattmeter readings in Fig. 12.39 if...Ch. 12 - Circuit values for Fig. 12.40 are , , , , . Find...Ch. 12 - Prob. 41ECh. 12 - Prob. 42ECh. 12 - (a) Is the load represented in Fig. 12.41...Ch. 12 - Prob. 44E
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.Similar questions
- 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
- A three-phase delta-connected load, each phase of which has an inductive reactance of 40 Ω and a resistance of 25 Ω, is fed from the secondary of a three-phase star-connected transformer which has a phase voltage of 230 V. Draw the circuit diagram of the system and calculate: (a) the current in each phase of the load; (b) the p.d. across each phase of the load; (c) the current in the transformer secondary windings; the total active power taken from the supply and its power factor.arrow_forwardDerive the numerical relationship between the line and phase currents for a balanced three-phase delta connected load. Three coils are connected in delta to a three-phase, three-wire, 400 V, 50 Hz supply and take a line current of 5 A 0.8 power factor lagging. Calculate the resistance and inductance of the coils. If the coils are star-connected to the same supply, calculate the line current and the total power. Calculate the line cur rents if one coil becomes open-circuited when the coils are connected in star. Ans: 110.7 Ω, 0.264 H; 1.67 A, 926 W; 1.445 A, 1.445 A, 0arrow_forwardDerive, for both star- and delta-connected systems, an expression for the total power input for a balanced three-phase load in terms of line voltage, line current and power factor. The star-connected secondary of a transformer supplies a delta-connected motor taking a power of 90 kW at a lagging power factor of 0.9. If the volt age between lines is 600 V, calculate the current in the transformer winding and in the motor winding. Draw circuit and phasor diagrams, properly labelled, showing all voltages and currents in the transformer secondary and the motor. ANS: . 96.2 A, 55.6 Aarrow_forward
- 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
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Power System Analysis and Design (MindTap Course ...Electrical EngineeringISBN:9781305632134Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. SarmaPublisher:Cengage Learning
Power System Analysis and Design (MindTap Course ...
Electrical Engineering
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:Cengage Learning
Inductors Explained - The basics how inductors work working principle; Author: The Engineering Mindset;https://www.youtube.com/watch?v=KSylo01n5FY;License: Standard Youtube License