Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN: 9781305632134
Author: J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher: Cengage Learning
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Question
Chapter 2, Problem 2.5MCQ
To determine
The relation of the voltage and current phasor in a pure inductive circuit with steady state A.C. source.
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Figure 2 shows three "LC" circuits, two of them with capacitance capacitors "C" and the three with inductance coils "L", the three circuits are coupled by means of two capacitance capacitors "Cc". The currents that circulate through each mesh are those indicated in the figure: "I1", "I2" and "I3". Using Kirchhoff's law for voltages and taking into account the definition of current I = −dQ / dt, find the system of coupled equations of the system and then find the normal angular frequencies of the system.
An inductive impedance made up of a resistor and an inductor has the characteristic that its currentadvances in phase to the voltage at the impedance
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Two lossy capacitors with Equal capacitance values and power factors of 0.01 and 0.02 are in parallel, and the combination is supplied from a sinusoidal voltage source. The power factor of the combination is ?
Chapter 2 Solutions
Power System Analysis and Design (MindTap Course List)
Ch. 2 - The rms value of v(t)=Vmaxcos(t+) is given by a....Ch. 2 - If the rms phasor of a voltage is given by V=12060...Ch. 2 - If a phasor representation of a current is given...Ch. 2 - Prob. 2.4MCQCh. 2 - Prob. 2.5MCQCh. 2 - Prob. 2.6MCQCh. 2 - Prob. 2.7MCQCh. 2 - Prob. 2.8MCQCh. 2 - Prob. 2.9MCQCh. 2 - The average value of a double-frequency sinusoid,...
Ch. 2 - The power factor for an inductive circuit (R-L...Ch. 2 - The power factor for a capacitive circuit (R-C...Ch. 2 - Prob. 2.13MCQCh. 2 - The instantaneous power absorbed by the load in a...Ch. 2 - Prob. 2.15MCQCh. 2 - With generator conyention, where the current...Ch. 2 - Consider the load convention that is used for the...Ch. 2 - Prob. 2.18MCQCh. 2 - The admittance of the impedance j12 is given by...Ch. 2 - Consider Figure 2.9 of the text, Let the nodal...Ch. 2 - The three-phase source line-to-neutral voltages...Ch. 2 - In a balanced three-phase Y-connected system with...Ch. 2 - In a balanced system, the phasor sum of the...Ch. 2 - Consider a three-phase Y-connected source feeding...Ch. 2 - For a balanced- load supplied by a balanced...Ch. 2 - A balanced -load can be converted to an...Ch. 2 - When working with balanced three-phase circuits,...Ch. 2 - The total instantaneous power delivered by a...Ch. 2 - The total instantaneous power absorbed by a...Ch. 2 - Under balanced operating conditions, consider the...Ch. 2 - One advantage of balanced three-phase systems over...Ch. 2 - While the instantaneous electric power delivered...Ch. 2 - Given the complex numbers A1=630 and A2=4+j5, (a)...Ch. 2 - Convert the following instantaneous currents to...Ch. 2 - The instantaneous voltage across a circuit element...Ch. 2 - For the single-phase circuit shown in Figure...Ch. 2 - A 60Hz, single-phase source with V=27730 volts is...Ch. 2 - (a) Transform v(t)=75cos(377t15) to phasor form....Ch. 2 - Let a 100V sinusoidal source be connected to a...Ch. 2 - Consider the circuit shown in Figure 2.23 in time...Ch. 2 - For the circuit shown in Figure 2.24, compute the...Ch. 2 - For the circuit element of Problem 2.3, calculate...Ch. 2 - Prob. 2.11PCh. 2 - The voltage v(t)=359.3cos(t)volts is applied to a...Ch. 2 - Prob. 2.13PCh. 2 - A single-phase source is applied to a...Ch. 2 - Let a voltage source v(t)=4cos(t+60) be connected...Ch. 2 - A single-phase, 120V(rms),60Hz source supplies...Ch. 2 - Consider a load impedance of Z=jwL connected to a...Ch. 2 - Let a series RLC network be connected to a source...Ch. 2 - Consider a single-phase load with an applied...Ch. 2 - A circuit consists of two impedances, Z1=2030 and...Ch. 2 - An industrial plant consisting primarily of...Ch. 2 - The real power delivered by a source to two...Ch. 2 - A single-phase source has a terminal voltage...Ch. 2 - A source supplies power to the following three...Ch. 2 - Consider the series RLC circuit of Problem 2.7 and...Ch. 2 - A small manufacturing plant is located 2 km down a...Ch. 2 - An industrial load consisting of a bank of...Ch. 2 - Three loads are connected in parallel across a...Ch. 2 - Prob. 2.29PCh. 2 - Figure 2.26 shows three loads connected in...Ch. 2 - Consider two interconnected voltage sources...Ch. 2 - Prob. 2.35PCh. 2 - Prob. 2.36PCh. 2 - Prob. 2.37PCh. 2 - Prob. 2.38PCh. 2 - Prob. 2.39PCh. 2 - A balanced three-phase 240-V source supplies a...Ch. 2 - Prob. 2.41PCh. 2 - A balanced -connected impedance load with (12+j9)...Ch. 2 - A three-phase line, which has an impedance of...Ch. 2 - Two balanced three-phase loads that are connected...Ch. 2 - Two balanced Y-connected loads, one drawing 10 kW...Ch. 2 - Three identical impedances Z=3030 are connected in...Ch. 2 - Two three-phase generators supply a three-phase...Ch. 2 - Prob. 2.48PCh. 2 - Figure 2.33 gives the general -Y transformation....Ch. 2 - Consider the balanced three-phase system shown in...Ch. 2 - A three-phase line with an impedance of...Ch. 2 - A balanced three-phase load is connected to a...Ch. 2 - What is a microgrid?Ch. 2 - What are the benefits of microgrids?Ch. 2 - Prob. CCSQCh. 2 - Prob. DCSQ
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- (a) Transform v(t)=75cos(377t15) to phasor form. Comment on whether =377 appears in your answer. (b) Transform V=5010 to instantaneous form. Assume that =377. (c) Add the two sinusoidal functions a(t) and b(t) of the same frequency given as follows: a(t)=A2cos(t+) and b(t)=B2cos(t+). Use phasor methods and obtain the resultant c(t). Does the resultant have the same frequency?arrow_forwardThe rms value of v(t)=Vmaxcos(t+) is given by a. Vmax b. Vmax/2 c. 2Vmax d. 2Vmaxarrow_forwardShow solutions.arrow_forward
- 2 and 3 please i need a simple answerarrow_forwardThe below figure shows the waveform of the voltage and current in a purely inductive AC circuit. Voltage Current Using the voltage phasor as the reference, the current phasor Lags by 90° Is in phase with the voltage Leads by 90° Lags and then leads by 160°arrow_forwardFigure 2 shows three "LC" circuits, two of them with capacitors of capacitance "C" and the three with inductance coils "L", the three circuits are coupled by means of two capacitors "Cc" capacitors. inductance "L", the three circuits are coupled by means of two capacitors of capacitance "Cc". The currents circulating through each mesh are those indicated in the figure: "I1", "I2" and "I3". Using Kirchhoff's law for voltages and taking into account the definition of current I = -dQ/dt, find the system of coupled equations of the system and then find the angular normal frequencies of the system.arrow_forward
- The source in the circuit shown is a sinusoidal source. The supply voltages across various elements are marked in the figure. The input voltage is: 3V- ww -14 V-10V moon Itarrow_forwardplease write the complete solution and the topic is AC parallel circuits thank you A sinusoidal 50 Hz voltage of 200 V(rms) supplies the following three circuits which are inparallel (i) a coil of inductance 0.03 H and resistance 3 ohms,(ii) a capacitor of 40 microfaradin series with a resistance of 100 ohms, (iii) a coil of inductance 0.02 H and resistance 7 ohmsin series with a 300 microfarad capacitor. Find the total current supplied.arrow_forwardProblem Design a circuit to limit a 20 V rms sinusoidal voltage to a maximum positive amplitude of 10 V and a maximum negative amplitude of -5 V using a single 14 V dc voltage source.arrow_forward
- Write a report to compare between Ac Through capacitance and AC through in inductance then: For the circuit shown beside, find The average power delivered to * .the circuit I 92 100 0 v 82 -j72 b wwarrow_forward]What happens when we encounter a circuit that has all 3 components in series? Parallel? How do we figure out what our phase relationship in a series reactance and resistive circuit? Parallel?arrow_forwardShown in the figure below is an "RL" circuit drive by an AC power source. The AC power source has an RMS voltage of Vps (RMS) = 9.84 Volts and is running at a frequency of f = 8.585e+04 Hz. The resistor has a resistance of R = 2170 and the inductor has an inductance of L = 3.54e-03 Henries. Vps R ww Write the FORMULA for the total impedance of the circuit Ztot = Determine the numerical value of Ztot = 2890.5 Determine the numerical value of $z= = 41 Determine the current through the circuit: • I(PEAK) = 4.81E-3 • I(RMS) = 3.404E-3 Determine the voltage across the resistor: • VR(PEAK) = 7.387 • VR(RMS) = 5.22 ✔✔ Amps ✔Amps Write the FORMULA for the phase of the total impedance of the circuit z... = | tan-1 2701 R x Volts X Volts Determine the voltage across the inductor: • VL(PEAK) = 9.184 • VL(RMS) = 6.49 ✔ Volts Volts L R²+ WL- ✔ degrees 2 If a second circuit were connected in parallel with the inductor, this circuit would be considered as: O a low-pass filter O a capacitive switcher…arrow_forward
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