Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf
9th Edition
ISBN: 9781259989452
Author: Hayt
Publisher: Mcgraw Hill Publishers
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Chapter 12, Problem 32E
To determine
The line current and the phase voltage for the given condition.
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12. A certain load takes 300 kW at 400 V. A three phase capacitor bank rated 15 kVA per phase is connected
in parallel with the load to raise the power factor of the system to 90% lagging. What is the power factor of
the load before correction?
c. 92%
d. 88%
a. 99%
b. 95%
13. A 132 kV line three phase system delivers 70.7 MVA on a balanced delta connected load of a power factor
70.7% lagging. Determine the reactance necessary to attain unity power factor.
a. 1 092 ohms
c. 1142 ohms
d. 1 045 ohms
b. 965 ohms
14. A 150 kVA transformer bank will serve a load expected to draw 135 kW at 0.80 lagging power factor.
Solve for the size of the capacitor bank needed to be added in order to prevent overloading of the
transformer bank.
a 40.391 KVAR
d. 28.266 KVAR
a. 32.506 KVAR
b. 35.866 KVAR
A balanced three-phase Y-connected source
with positive sequance has an internal voltage
of 120 V/phase. The source feeds a balanced
three-phase Y-connected load having an
impedance of 39 + j28 N /phase. The
impedance of the transmission line connecting
the source to the load is 1+ j20/phase. The a-
phase of the source is the reference voltage.
a) Draw the equivalent per-phase-circuit for
the phase "a".
b) Calculate the three line currents in the
transmission lines.
c) Calculate the three phase voltages at load.
d) Calculate the three line-to-line voltages at
the terminals of the load.
e) Calculate the total average power in watts
delivered to the load.
f) Calculate the total complex power in VA
delivered by the source.
B) A three-phase, 50 Hz, A-Y connection. The line voltages of primary and secondary are
3300V and 400V respectively. The line current on the primary side is 12A and secondary
has a balanced load at 0.8 lagging p.f. find:
i.
The secondary phase voltage and line current.
The output power.
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
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- A delta connected load with Zab=3 + j2 Ohm, Zbc=3 + j4 Ohm and Zca=2 + j3 Ohm are connected the end of a three-phase line as shown in the figure. The line impedance is 1+j2 Ohm per phase. The line is supplied from a three-phase source with line-to-line voltage of Vab=200.0/0° V rms. Taking the phase current vector lab as the reference vector, determine; (a) Line current Ia. (b) Total complex power supplied from the source. (c) Magnitude of the line-to-line voltage at the load terminal. ao- bo- Co- 1+j2 b aarrow_forward1. A balanced three-phase Y-source with Vph "E" V rms drives a Y-connected three-phase load with phase impedance ZA = " F" Q, ZB = "G" N, and Zc= "H" N. Calculate the line currents and total complex power delivered to the load. Assume that the neutrals are connected. E=230 F= 90 G= 9+j5 H= j90arrow_forwardP 12.7-5 A three-phase Y-connected source simultaneously supplies power to two separate balanced three-phase loads. The first total load is A connected and requires 39 KVA at 0.7 lagging. The second total load is Y connected and requires 15 kW at 0.21 leading. Each line has an impedance 0.038 +0.072 f/phase. Calculate the line-to-line source volt- age magnitude required so that the loads are supplied with 208-V rms line-to-line.arrow_forward
- The following three-phase circuit is symmetrical, with line voltage 220 V, 60 Hz, direct phase sequence, isolated neutral and the value of the impedances of the loads in the three phases are: Zan = 10 ohms Zbn = -10j ohm Zcn = -10j Ohm Find:a) Phase voltages on the load;b) Line and phase currents;c) The power supplied to the load. Consider the phase voltage in the reference(Va voltage angle equal to 0)arrow_forward2. One phase voltage of a three-phase wye-connected load is Vbn=340VZ+20° . Ib la vab 340V@+20 Vbc Vca a. Calculate the line-to-line voltages Vab, Vbc, and Vca (including the phase) on the transmission lines. b. Show that KVL is true for the loop around this 3-phase load, a to b to c and back to a (or any other closed path).arrow_forwardIn a balanced delta connected 3-phase circuit, has resistance 16 ohm and inductive reactance 12 ohm, connected to a 230V,50HZ 3-phase supply voltage, then total power delivered to load is Select one: a. 5397.7W b. 6.34KW c. 16.34KW d. NONE OF THESEarrow_forward
- Consider a three-phase Y-connected source feeding a balanced- load. The phasor sum of the line currents as well as the neutral current are always zero. (a) True (b) Falsearrow_forwardTwo balanced three-phase loads that are connected in parallel are fed by a three-phase line having a series impedance of (0.4j2.7) per phase. One of the loads absorbs 560 kVA at 0.707 power factor lagging, and the other 132 kW at unity power factor. The line-to-line voltage at the load end of the line is 2203V. Compute (a) the line-to-line voltage at the source end of the line. (b) the total real and reactive power losses in the three-phase line, and (c) the total three-phase real and reactive power supplied at the sending end of the line. Check that the total three-phase complex power delivered by the source equals the total three-phase comp lex power absorbed by the line and loads.arrow_forwardThe three-phase source line-to-neutral voltages are given by Ean=100,Ebh=10+240, and Ecn=10240volts. Is the source balanced? (a) Yes (b) Noarrow_forward
- In a balanced system, the phasor sum of the line-to-line voltages and the phasor sum of the line-to-neutral voltages are always equal to zero. (a) False (b) Truearrow_forwardA single-phase source is applied to a two-terminal, passive circuit with equivalent impedance Z=3.045, measured from the terminals. The source current is i(t)=22cos(t)kA. Determine the (a) instantaneous power, (b) real power, (c) reactive power delivered by the source, and (d) source power factor.arrow_forwardA balanced three-phase load is connected to a 4.16-kV, three-phase, fourwire, grounded-wye dedicated distribution feeder. The load can be mode led by an impedance of ZL=(4.7+j9)/phase, wye-connected. The impedance of the phase conductors is (0.3+j1). Determine the following by using the phase A to neutral voltage as a reference and assume positive phase sequence: (a) Line currents for phases A, B, and C. (b) Line-to-neutral voltages for all three phases at the load. (c) Apparent. active, and reactive power dissipated per phase, and for all three phases in the load. (d) Active power losses per phase and for all three phases in the phase conductors.arrow_forward
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