Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf
9th Edition
ISBN: 9781259989452
Author: Hayt
Publisher: Mcgraw Hill Publishers
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Chapter 13, Problem 45E
(a)
To determine
Find the value of
(b)
To determine
Find the value of
(c)
To determine
Find the value of
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Students have asked these similar questions
(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
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 kW
not use ai please
Chapter 13 Solutions
Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf
Ch. 13.1 - Assuming M = 10 H, coil L2 is open-circuited, and...Ch. 13.1 - For the circuit of Fig. 13.9, write appropriate...Ch. 13.1 - For the circuit of Fig. 13.11, write an...Ch. 13.2 - Let is = 2 cos 10t A in the circuit of Fig. 13.14,...Ch. 13.3 - Element values for a certain linear transformer...Ch. 13.3 - (a) If the two networks shown in Fig. 13.20 are...Ch. 13.3 - If the networks in Fig. 13.23 are equivalent,...Ch. 13.4 - Prob. 8PCh. 13.4 - Let N1 = 1000 turns and N2 = 5000 turns in the...Ch. 13 - Prob. 1E
Ch. 13 - With respect to Fig. 13.36, assume L1 = 500 mH, L2...Ch. 13 - The circuit in Fig. 13.36 has a sinusoidal input...Ch. 13 - Prob. 4ECh. 13 - Prob. 5ECh. 13 - The circuit in Fig. 13.38 has a sinusoidal input...Ch. 13 - The physical construction of three pairs of...Ch. 13 - Prob. 8ECh. 13 - Prob. 9ECh. 13 - Calculate v1 and v2 if i1 = 5 sin 40t mA and i2 =...Ch. 13 - Prob. 11ECh. 13 - For the circuit of Fig. 13.41, calculate I1, I2,...Ch. 13 - Prob. 13ECh. 13 - Prob. 14ECh. 13 - In the circuit of Fig. 13.43, M is reduced by an...Ch. 13 - Prob. 16ECh. 13 - Prob. 17ECh. 13 - Prob. 18ECh. 13 - Prob. 19ECh. 13 - Note that there is no mutual coupling between the...Ch. 13 - Prob. 21ECh. 13 - (a) Find Zin(j) for the network of Fig 13.50. (b)...Ch. 13 - For the coupled coils of Fig. 13.51, L1 = L2 = 10...Ch. 13 - Prob. 24ECh. 13 - Prob. 25ECh. 13 - Prob. 26ECh. 13 - Consider the circuit represented in Fig. 13.53....Ch. 13 - Compute v1, v2, and the average power delivered to...Ch. 13 - Assume the following values for the circuit...Ch. 13 - Prob. 30ECh. 13 - Prob. 31ECh. 13 - Prob. 32ECh. 13 - Prob. 33ECh. 13 - Prob. 34ECh. 13 - Prob. 35ECh. 13 - Prob. 36ECh. 13 - Prob. 37ECh. 13 - FIGURE 13.60 For the circuit of Fig. 13.60, redraw...Ch. 13 - Prob. 39ECh. 13 - Prob. 40ECh. 13 - Calculate the average power delivered to the 400 m...Ch. 13 - Prob. 42ECh. 13 - Calculate the average power delivered to each...Ch. 13 - Prob. 44ECh. 13 - Prob. 45ECh. 13 - Prob. 46ECh. 13 - Prob. 47ECh. 13 - Prob. 48ECh. 13 - A transformer whose nameplate reads 2300/230 V, 25...Ch. 13 - Prob. 52ECh. 13 - As the lead singer in the local rock band, you...Ch. 13 - Obtain an expression for V2/Vs in the circuit of...Ch. 13 - Prob. 55E
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- A 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_forwardDon'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_forward
- The 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_forwardA 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_forward
- Derive, 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_forwardDeduce 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_forward
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