Principles and Applications of Electrical Engineering
6th Edition
ISBN: 9780073529592
Author: Giorgio Rizzoni Professor of Mechanical Engineering, James A. Kearns Dr.
Publisher: McGraw-Hill Education
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Chapter 4, Problem 4.24HP
To determine
The energy stored in the capacitor for all the time.
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Design 5th order LPF with gain = Yo
cut of freq=10KHZ
The current coil of a wattmeter is connected in the red
line of a three-phase system. The voltage circuit can be
connected between the red line and either the yellow
line or the blue line by means of a two-way switch.
Assuming the load to be balanced, show with the aid
of a phasor diagram that the sum of the wattmeter
indications obtained with the voltage circuit connected
to the yellow and the blue lines respectively gives the
total active power.
A wattmeter has its current coil connected in the yellow
line, and its voltage circuit is connected between the
red and blue lines. The line voltage is 400 V and the
balanced load takes a line current of 30 A at a power
factor of 0.7 lagging. Draw circuit and phasor diagrams
and derive an expression for the reading on the wattmeter
in terms of the line voltage and current and of the phase
difference between the phase voltage and current.
Calculate the value of the wattmeter indication.
ANS:
. Line amperes × line volts × sin φ = 8750 var
Chapter 4 Solutions
Principles and Applications of Electrical Engineering
Ch. 4 - The current through a 0.8-H inductor is given by...Ch. 4 - For each case shown below, derive the expression...Ch. 4 - Derive the expression for the voltage across...Ch. 4 - In the circuit shown in Figure P4.4, assume R=1...Ch. 4 - Prob. 4.5HPCh. 4 - In the circuit shown in Figure P4.4, assume R=2...Ch. 4 - In the circuit shown in Figure P4.7, assume R=2...Ch. 4 - Prob. 4.8HPCh. 4 - Prob. 4.9HPCh. 4 - Prob. 4.10HP
Ch. 4 - The voltage waveform shown in Figure P4.10 is...Ch. 4 - The voltage across a 0.5-mH inductor, Plotted as a...Ch. 4 - Prob. 4.13HPCh. 4 - The current through a 16-H inductor is zero at t=0...Ch. 4 - The voltage across a generic element X has the...Ch. 4 - The plots shown in Figure P4.16 are the voltage...Ch. 4 - The plots shown in Figure P4.17 are the voltage...Ch. 4 - The plots shown in Figure P4.18 are the voltage...Ch. 4 - The plots shown in Figure P4.19 are the voltage...Ch. 4 - The voltage vL(t) across a 10-mH inductor is shown...Ch. 4 - The current through a 2-H inductor is p1otted in...Ch. 4 - Prob. 4.22HPCh. 4 - Prob. 4.23HPCh. 4 - Prob. 4.24HPCh. 4 - The voltage vC(t) across a capacitor is shown in...Ch. 4 - The voltage vL(t) across an inductor is shown in...Ch. 4 - Find the average and rms values of x(t) when:...Ch. 4 - The output voltage waveform of a controlled...Ch. 4 - Refer to Problem 4.28 and find the angle + that...Ch. 4 - Find the ratio between the average and rms value...Ch. 4 - The current through a 1- resistor is shown in...Ch. 4 - Derive the ratio between the average and rms value...Ch. 4 - Find the rms value of the current waveform shown...Ch. 4 - Determine the rms (or effective) value of...Ch. 4 - Assume steady-state conditions and find the energy...Ch. 4 - Assume steady-state conditions and find the energy...Ch. 4 - Find the phasor form of the following functions:...Ch. 4 - Convert the following complex numbers to...Ch. 4 - Convert the rectangular factors to polar form and...Ch. 4 - Complete the following exercises in complex...Ch. 4 - Convert the following expressions to rectangular...Ch. 4 - Find v(t)=v1(t)+v2(t) where...Ch. 4 - The current through and the voltage across a...Ch. 4 - Express the sinusoidal waveform shown in Figure...Ch. 4 - Prob. 4.45HPCh. 4 - Convert the following pairs of voltage and current...Ch. 4 - Determine the equivalent impedance seen by the...Ch. 4 - Determine the equivalent impedance seen by the...Ch. 4 - The generalized version of Ohm’s law for impedance...Ch. 4 - Prob. 4.50HPCh. 4 - Determine the voltage v2(t) across R2 in the...Ch. 4 - Determine the frequency so that the current Ii...Ch. 4 - Prob. 4.53HPCh. 4 - Use phasor techniques to solve for the current...Ch. 4 - Use phasor techniques to solve for the voltage...Ch. 4 - Prob. 4.56HPCh. 4 - Solve for VR shown in Figure P4.57. Assume:...Ch. 4 - With reference to Problem 4.55, find the value of ...Ch. 4 - Find the current iR(t) through the resistor shown...Ch. 4 - Find vout(t) shown in Figure P4.60.Ch. 4 - Find the impedance Z shown in Figure...Ch. 4 - Find the sinusoidal steady-state output vout(t)...Ch. 4 - Determine the voltage vL(t) across the inductor...Ch. 4 - Determine the current iR(t) through the resistor...Ch. 4 - Find the frequency that causes the equivalent...Ch. 4 - a. Find the equivalent impedance Zo seen by the...Ch. 4 - A common model for a practical capacitor has...Ch. 4 - Using phasor techniques, solve for vR2 shown in...Ch. 4 - Using phasor techniques to solve for iL in the...Ch. 4 - Determine the Thévenin equivalent network seen by...Ch. 4 - Determine the Norton equivalent network seen by...Ch. 4 - Use phasor techniques to solve for iL(t) in...Ch. 4 - Use mesh analysis to determine the currents i1(t)...Ch. 4 - Prob. 4.74HPCh. 4 - Prob. 4.75HPCh. 4 - Find the Thévenin equivalent network seen by the...Ch. 4 - Prob. 4.77HPCh. 4 - Prob. 4.78HPCh. 4 - Prob. 4.79HPCh. 4 - Prob. 4.80HPCh. 4 - Use mesh analysis to find the phasor mesh current...Ch. 4 - Write the node equations required to solve for all...Ch. 4 - Determine Vo in the circuit of Figure...Ch. 4 - Prob. 4.84HP
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- 4. The circuit shown below shows an infinite impedance (open circuit) in phase B of the Y-connected load. Find the phasor voltage VOB if the system is 208 V, sequence ABC. -j100 Q 100 Ω B 5. Three identical impedances of Z = 15260°2 are connected in Y to a three-phase, three-wire, 240 V, ABC system. The lines between the supply and the load have impedances of 2 +j 1 Q2. Find the line voltage magnitudes at the load. Find the new values when a set of capacitors with reactance of -j10 Q (Y-connection) is connected in parallel with the load. Draw the vector diagram for the load current, the capacitor current and the system line current.arrow_forward1. A three-phase, three-wire, 240 V, ABC system supplies a delta-connected load in which ZAB = 25/90°, ZBC = 15230° and ZCA = 200°. a) Find the line currents and the total real and reactive powers supplied by the source. Draw the phasor diagram for the line voltages and phase and line currents. Vc VA AT VB ICT 1 CA ZAB | BT ZBC b) A 240 V, 2 HP, 0.95 efficiency, single-phase motor is connected as shown below. The motor is operating at 0.85 p.f. lagging. Repeat (a). Include the motor current in the phasor diagram VA AT ZAB Ꮓ ΑΒ V B CT 1BT M ZBC ZCAarrow_forward2. A three-phase, four-wire, 208 V, ABC system supplies a Y-connected load in which Zд = 100°N, Z = 15/30° and Zc = 104-30°. Find the line currents, the neutral current and total real and reactive powers. Draw the phasor diagram of the phase voltages and currents. ZA = 3. A three-phase, three-wire, 208 V, ABC system supplies a Y-connected load in which ZA 100°, ZB = 15230° and Zc = 10-30°. Find the line currents, the phase voltages across the load impedances, the total real and reactive powers and the voltage Von VA ZAarrow_forward
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