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 2.4MCQ
To determine
The condition of the voltage and current phasors for a purely resistive circuit.
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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.
PHASE RELATIONSHIP SINUSOIDAL( NEED NEAT HANDWRITTEN SOLUTION ONLY OTHERWISE DOWNVOTE).
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
A) lags in phase with the voltage across the impedance
B) is in phase with the voltage across the impedance.
C) None of the above
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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- The 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_forwardThe 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_forwardIf, in one (360 degrees), all of the instantaneous power falls under positive loops (no negativeloops), the load must be:a. A resistorb. An inductor or capacitorExplain:arrow_forward
- 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 ?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_forwardWrite a report to compare between Ac Through capacitance and AC through in inductance then: For the circuit shown beside, find the total impedance between a and b and Circuit current (I)arrow_forward
- H.W 2 An AC circuit includes two sections AB and BC in series. The section AB consists of two branches in parallel. The first of these is formed of resistance of 60 2 in series with a capacitor of 50 mF, while the second consists of a resistance of 60 2 having an inductance of 250 mH. The section BC consists of a resistance of 100 N having an inductance of 300 mH. The frequency of the current is 50 Hz. The voltage across section AB is 500 V. What is the voltage across the section BC?arrow_forwardBased on Figures la,1b and 1c and RLC elements, write a discussion on voltage-current relations and power factor.arrow_forward2. Refer to the Figure 2. a) Determine the total impedance of the circuit in polar form. b) Determine the voltage v(t) and current i(t) sinusoidal forms. Sketch one cycle of the waveforms in the same x-axis. Clearly indicating the peak value and the period of each waveform and the phase difference (in milliseconds) between the two waveforms. c) Determine the values of resistance R and inductance L. d) Determine the phasors V,, VR and Vc. e) Sketch the phasor diagram showing Vs, Vr, Vr, Vc and I.arrow_forward
- write a report to compare between ac througe capactance and ac throughe in inductance then:for the cirucit shown beside, find the total impedance between a & b and cirucit current (I)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_forwardThe picture shows three LC circuits, two of them with capacitors of capacitance C and the three with coils of inductance L, the three circuits are coupled by means of two capacitors Cc capacitors.L inductance coils, the three circuits are coupled by means of two capacitors of capacitance Cc. The currentscirculating through each mesh are those indicated in the figure: I1, I2 and I3. Using Kirchhoff's law for voltagesand taking into account the definition of current I = -dQ/dt, find the system of coupled equations for the systemand then find the angular normal frequencies of the system.arrow_forward
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