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 12, Problem 27P
A ∆-connected source supplies power to a Y-connected load in a three-phase balanced system. Given that the line impedance is
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A three-phase line feeds two balanced three-phase loads connected in parallel. The first Y load consumes a total of 630,000 W at 0.6 power factor lagging. The second in Δ it has an impedance per phase of 46.08 – j 13.44 Ω. The line-to-line voltage at the end of the loads corresponds to 6920 Vrms, negative sequence. Find the total line current and power total complex absorbed by the two-charge system.
A 4200-V, three-phase transmission line has an impedance of 4+j ohms per phase. If it supplies a load of 1 MVA at 0.75 power factor, find:
(a) the complex power
(b) the power loss in the line
(c) the voltage at the sending end.
*Ans. S=0.75+j0.66 MVA, PL=25.14 kW and VS=4.492∠ − 1.912°kV
Use four decimal places.
A Δ-connected source supplies power to a Y-connected load in a three-phase balanced system. Given that the line impedance is 3 + j2 Ω per phase while the load impedance is 5 + j1 Ω per phase, what is the magnitude of the line current. Assume the source phase voltage Vab = 220 ∠0° V rms and what is the magnitude of the voltage in the load (5+j1) ohms.
Chapter 12 Solutions
Fundamentals of Electric Circuits
Ch. 12.2 - Given that Vbn=22030V, find Van and Vcn, assuming...Ch. 12.3 - A Y-connected balanced three-phase generator with...Ch. 12.4 - One line voltage of a balanced Y-connected source...Ch. 12.5 - A positive-sequence, balanced -connected source...Ch. 12.6 - In a balanced -Y circuit, Vab=44015 and ZY = (12 +...Ch. 12.7 - For the Y-Y circuit in Practice Prob. 12.2,...Ch. 12.7 - Calculate the line current required for a 30-kW...Ch. 12.7 - Assume that the two balanced loads in Fig....Ch. 12.8 - The unbalanced -load of Fig. 12.24 is supplied by...Ch. 12.8 - Find the line currents in the unbalanced...
Ch. 12.9 - Prob. 11PPCh. 12.9 - For the unbalanced circuit in Fig. 12.32, use...Ch. 12.10 - Repeat Example 12.13 for the network in Fig. 12.24...Ch. 12.10 - Let the line voltage VL = 208 V and the wattmeter...Ch. 12.10 - If the load in Fig. 12.35 is delta-connected with...Ch. 12 - What is the phase sequence of a three-phase motor...Ch. 12 - If in an acb phase sequence, , then Vcn is:Ch. 12 - Which of these is not a required condition for a...Ch. 12 - Prob. 4RQCh. 12 - Prob. 5RQCh. 12 - In a Y-Y system, a line voltage of 220 V produces...Ch. 12 - In a - system, a phase voltage of 100 V produces a...Ch. 12 - When a Y-connected load is supplied by voltages in...Ch. 12 - Prob. 9RQCh. 12 - Prob. 10RQCh. 12 - If Vab = 400 V in a balanced Y-connected...Ch. 12 - What is the phase sequence of a balanced...Ch. 12 - Given a balanced Y-connected three-phase generator...Ch. 12 - A three-phase system with abc sequence and VL =...Ch. 12 - For a Y-connected load, the time-domain...Ch. 12 - Using Fig. 12.41, design a problem to help other...Ch. 12 - Obtain the line currents in the three-phase...Ch. 12 - In a balanced three-phase Y-Y system, the source...Ch. 12 - A balanced Y-Y four-wire system has phase voltages...Ch. 12 - For the circuit in Fig. 12.43, determine the...Ch. 12 - In the Y- system shown in Fig. 12.44, the source...Ch. 12 - Using Fig. 12.45, design a problem to help other...Ch. 12 - In the balanced three-phase Y- system in Fig....Ch. 12 - Obtain the line currents in the three-phase...Ch. 12 - The circuit in Fig. 12.48 is excited by a balanced...Ch. 12 - A balanced delta-connected load has a phase...Ch. 12 - A positive sequence wye-connected source where ,...Ch. 12 - If Van = 22060 V in the network of Fig. 12.49,...Ch. 12 - For the - circuit of Fig. 12.50, calculate the...Ch. 12 - Prob. 20PCh. 12 - Three 440-V generators form a delta-connected...Ch. 12 - Find the line currents IaA, IbB, and IcC in the...Ch. 12 - A balanced delta connected source is connected to...Ch. 12 - A balanced delta-connected source has phase...Ch. 12 - In the circuit of Fig. 12.54, if , , , find the...Ch. 12 - Using Fig. 12.55, design a problem to help other...Ch. 12 - A -connected source supplies power to a...Ch. 12 - The line-to-line voltages in a Y-load have a...Ch. 12 - A balanced three-phase Y- system has V rms and Z =...Ch. 12 - In Fig. 12.56, the rms value of the line voltage...Ch. 12 - A balanced delta-connected load is supplied by a...Ch. 12 - Design a problem to help other students better...Ch. 12 - A three-phase source delivers 4.8 kVA to a...Ch. 12 - A balanced wye-connected load with a phase...Ch. 12 - Three equal impedances, 60 + j30 each, are...Ch. 12 - A 4200-V, three-phase transmission line has an...Ch. 12 - The total power measured in a three-phase system...Ch. 12 - Given the circuit in Fig. 12.57 below, find the...Ch. 12 - Find the real power absorbed by the load in Fig....Ch. 12 - For the three-phase circuit in Fig. 12.59, find...Ch. 12 - A balanced delta-connected load draws 5 kW at a...Ch. 12 - A balanced three-phase generator delivers 7.2 kW...Ch. 12 - Refer to Fig. 12.48. Obtain the complex power...Ch. 12 - A three-phase line has an impedance of 1 + j3 per...Ch. 12 - A balanced wye-connected load is connected to the...Ch. 12 - A three-phase load consists of three 100-...Ch. 12 - The following three parallel-connected three-phase...Ch. 12 - A balanced, positive-sequence wye-connected source...Ch. 12 - Each phase load consists of a 20- resistor and a...Ch. 12 - A balanced three-phase source with VL = 240 V rms...Ch. 12 - Consider the wye-delta system shown in Fig. 12.60....Ch. 12 - A four-wire wye-wye circuit has...Ch. 12 - Using Fig. 12.61, design a problem that will help...Ch. 12 - A balanced three-phase Y-source with VP = 880 V...Ch. 12 - A three-phase supply, with the line-to-line...Ch. 12 - Using Fig. 12.63, design a problem to help other...Ch. 12 - Determine the line currents for the three-phase...Ch. 12 - Solve Prob. 12.10 using PSpice or MultiSim. For...Ch. 12 - The source in Fig. 12.65 is balanced and exhibits...Ch. 12 - Use PSpice or MultiSim to determine Io in the...Ch. 12 - Given the circuit in Fig. 12.67, use PSpice or...Ch. 12 - Using Fig. 12.68, design a problem to help other...Ch. 12 - Use PSpice or MultiSim to find currents IaA and...Ch. 12 - For the circuit in Fig. 12.58, use PSpice or...Ch. 12 - A balanced three-phase circuit is shown in Fig....Ch. 12 - A three-phase, four-wire system operating with a...Ch. 12 - As shown in Fig. 12.72, a three-phase four-wire...Ch. 12 - Meter readings for a three-phase wye-connected...Ch. 12 - A certain store contains three balanced...Ch. 12 - The two-wattmeter method gives P1=1200W and...Ch. 12 - In Fig. 12.73, two wattmeters are properly...Ch. 12 - If wattmeters W1 and W2 are properly connected...Ch. 12 - For the circuit displayed in Fig. 12.74, find the...Ch. 12 - Predict the wattmeter readings for the circuit in...Ch. 12 - Prob. 75PCh. 12 - Show that the I2R losses will be higher for a...Ch. 12 - A three-phase generator supplied 10 kVA at a power...Ch. 12 - Prob. 78CPCh. 12 - A balanced three-phase generator has an abc phase...Ch. 12 - A balanced three-phase source furnishes power to...Ch. 12 - A professional center is supplied by a balanced...Ch. 12 - A balanced three-phase system has a distribution...Ch. 12 - A commercially available three-phase inductive...Ch. 12 - Figure 12.76 displays a three-phase...Ch. 12 - Design a three-phase heater with suitable...Ch. 12 - For the single-phase three-wire system in Fig....Ch. 12 - Consider the single-phase three-wire system shown...
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- 2. A balanced three-phase source furnishes power to the following three loads: Load 1: 8 kVA at 0.83 pf lagging Load 2: unknown Load 3: 10 kVA at 0.7071 pf leading If the line current is 72 Arms, the line voltage at the load is 221 Vrms, and the combined load has a 0.8 pf lagging, determine the unknown load.arrow_forwardA Y-Y three-phase system has a source of 380 V and a load of impedance of 6+j5 Ohm/phase through a transmission line of 2+j 1 Ohm/phase.Plot this Y-Y three-phase system then calculate complex power supplied by the source.arrow_forward:A three-phase, three-wire, ABC system has effective line voltage 173.2 V. Wattmeters in lines A and B read -301 W and 1327 W, respectively. Find the impedance of the balanced Y-connected load. (Answer 10 angle -70° )arrow_forward
- The following three parallel-connected three-phase loads are fed by a balanced three-phase source: Load 1: 250 kVA, 0.8 pf lagging Load 2: 300 kVA, 0.95 pf leading Load 3: 450 kVA, unity pf If the line voltage is 13.8 kV, calculate the line current and the power factor of the source. Assume that the line impedance is zero.arrow_forwardFor a balanced three-phase Y-Δ system - Line voltage: 240V - total apparent power supplied: 4800 VA - power factor angle of the load: -50⁰ - line impedance: negligible Find the impedance of the load. Impedance of the load is: BLANK EXPRESS YOUR ANSWER IN RECTANGULAR FORMarrow_forwardThe total apparent power supplied in a balanced, three-phase Y-Δ system is 4800 VA. The line voltage is 240 V. If the line impedance is negligible and the power factor angle of the load is −50∘, determine the impedance of A balanced three-phase load absorbs 96 kVA at a lagging power factor of 0.8 when the line voltage at the terminals of the load is 480 V.the load.arrow_forward
- A particular balanced three-phase system is supplying a (delta)-connected load with 10kW at a leading power factor of 0.7. If the phase voltage is 208V and the source operates at 50Hz answer the following: (a) compute the line current (b) compute the impedance Zp (c) draw a circuit diagram representing this system.arrow_forwardA load of 135 MW at a power factor of 0.6 lagging can be delivered by a 3-phase transmission line. The voltage at the receiving end is to be maintained at 57 kV and the loss in the transmission is 6.5% of the power delivered. (Consider the line to be a short transmission line) Find A) Single phase Power delivered B) Per phase voltage C) Current flowing through the transmission line D) 3 Phase Losses in the transmission line E) Per phase resistance of the transmission linearrow_forwardA balanced delta connected generator supplies a line voltage of 180v rms to a balanced load connected in w and e, with a sequence abc and having an angle of 0 ° for the voltage Vab. considering that the load per phase is 45 + 20j Ω, calculate all the line currents and the real power (w) supplied by this generator to the loadarrow_forward
- The phase voltage at the terminals of a balanced three-phase Yconnected load is 2400 V. The load has an impedance of 16 + j12 Ω/ϕ and is fed from a line having an impedance of 0.10 + j0.80 Ω/ϕ. The Yconnected source at the sending end of the line has a phase sequence of acb and an internal impedance of 0.02 + j0.16 Ω/ϕ. Use the a-phase voltage at the load as the reference and calculate (a) the line currents IaA, IbB, and IcC; (b) the line voltages at the source, Vab, Vbc, and Vca; and (c) the internal phase-to-neutral voltages at the source, Va ′n, Vb′n, and Vc′n.arrow_forwardIt is powered from a grounded Y-balanced three-phase source. The installations have four balanced three-phase loads: Load 1: 150 kVA Y with pf 0.8 (+), Load 2: 100 kW ∆ with pf 1.0, Load 3: 120 kW Y with pf 0.6 (-), Load 4: 80 kW and 95 kVAR (inductive - ∆). If the line impedance is 0.02 + j0.05 Ω per phase and the line voltage across the loads is 480 V, find the magnitude of the line and phase voltages at the source. Draw the phasor diagram of the voltages.arrow_forwardA balanced, positive-sequence, Y-connected voltage source with Eab = 480∠0o volts is applied to abalanced-∆ load with Z∆ = 30 ∠40o Ω. The line impedance between the source and load is ZL = 1 ∠850 Ω.for each phase. Calculate the line currents, the ∆ -load currents, and the voltages at the load terminals.Recall that ZY = Z∆/3arrow_forward
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