Electrical Engineering: Principles & Applications, Student Value Edition Plus Mastering Engineering with Pearson eText -- Access Card Package (7th Edition)
7th Edition
ISBN: 9780134702193
Author: Allan R. Hambley
Publisher: PEARSON
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Chapter 1, Problem 1.4P
To determine
The applications of electrical engineering.
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Q2. For the transformer shown in Fig. 1.
A. Plot the winding connection for the transformer and justify your answer.
(4M)
B. If the transformer is adopted in 12 pulse diode rectifier, where two-series connected
bridge rectifiers are used to supply a highly inductive load with 100 A. (i) Select a
suitable turns ratio for the transformer (ii) Plot the line current of each winding (
secondary + primary) showing the current magnitude at each interval (iii) Use Fourier
Page 1 of 3
analysis to obtain the Fourier series of all line currents then calculate the THD of the
input current.
(8=0°
(16M)
(Y) = 30°
Fig. 1
P. I v
I
Q2. For the transformer shown in Fig.1,
A. Find the phase shift between the primary and star-connected secondary.
B. If the transformer is adopted in a 12-pulse diode rectifier, where a two-series
connected bridge rectifier is connected in series and supplies a highly inductive load
(i) Select a suitable turns ratio for the transformer
(ii) Plot the line current of each winding (secondary + primary).
(iii)Using Fourier analysis to obtain the Fourier series of all line currents, then calculate
the THD of the input current.
(iv) Draw the output voltage of the first and second rectifiers and give the relation of
the total output voltage.
N2
B
C
Fig. 1
N3
a
Q2.A. It is planned to use the transformer shown in Fig. 1, a 12-pulse rectifier. Each
secondary is connected to three phase controlled bridge rectifier. The two rectifiers
are connected in series to supply a highly inductive load.
1. Based on the phasor relationship between different windings. If suitable turns
ratio is selected, is it possible to use this transformer to produce 12 pulse
output voltage? Show the reason behind your answer.
2. Assuming this arrangement is possible to be used in 12-pulse rectifier, draw
the output voltage of the 1st and 2nd rectifier and give the relation of the total
output voltage.
3. Use the Fourier analysis to show the harmonics in all line currents of the
transformer.
A
B
in
C
Fig. 1
b
la
a
2
b.
Chapter 1 Solutions
Electrical Engineering: Principles & Applications, Student Value Edition Plus Mastering Engineering with Pearson eText -- Access Card Package (7th Edition)
Ch. 1 - Broadly speaking, what are the two main objectives...Ch. 1 - Prob. 1.2PCh. 1 - List eight subdivisions of electrical engineering.Ch. 1 - Prob. 1.4PCh. 1 - Prob. 1.5PCh. 1 - In the fluid-flow analogy for electrical circuits,...Ch. 1 - The charge of an electron is 1.601019C . A current...Ch. 1 - The ends of a length of wire are labeled a and b....Ch. 1 - The circuit element shown in Figure P1.9 has v=12V...Ch. 1 - Prob. 1.10P
Ch. 1 - The net charge through a cross section of a...Ch. 1 - The current through a particular circuit element...Ch. 1 - The current through a given circuit element is...Ch. 1 - The net charge through a cross section of a...Ch. 1 - A copper wire has a diameter of 2.05 mm and...Ch. 1 - A certain lead acid storage battery has a mass of...Ch. 1 - A circuit element having terminals a and b has...Ch. 1 - An electron moves through a voltage of 9 V from...Ch. 1 - A typical “deep-cycle” battery (used for electric...Ch. 1 - Define the term passive reference configuration....Ch. 1 - Compute the power for each element shown in Figure...Ch. 1 - The terminals of an electrical device are labeled...Ch. 1 - The terminals of a certain battery are labeled a...Ch. 1 - The element shown in Figure P1.24 I has v(t)=10V...Ch. 1 - The current and voltage of an electrical device...Ch. 1 - Suppose that the cost of electrical energy is...Ch. 1 - Figure P1.27 shows an ammeter (AM) and voltmeter...Ch. 1 - Repeat Problem P1.27 with the meters connected as...Ch. 1 - A certain type of D-cell battery that costs $0.50...Ch. 1 - The electronics aboard a certain sailboat consume...Ch. 1 - What s a node in an electrical circuit? Identify...Ch. 1 - State Kirchhoff’s current law.Ch. 1 - Two electrical elements are connected in series....Ch. 1 - Suppose that in the fluid-flow analogy for an...Ch. 1 - Identify elements that are in series in the...Ch. 1 - Consider the circuit shown in Figure P1.36. Which...Ch. 1 - Use KCL to find the values of ia, ic , and id for...Ch. 1 - Find the values of the other currents in Figure...Ch. 1 - Prob. 1.39PCh. 1 - State Kirchhoff’s voltage law.Ch. 1 - Consider the circuit shown in Figure P1.36. Which...Ch. 1 - Use KVL to solve for the voltages va , vb, and vc...Ch. 1 - Solve for the other voltages shown in Figure P1.43...Ch. 1 - Use KVL and KCL to solve for the labeled currents...Ch. 1 - Identify elements that are in parallel in Figure...Ch. 1 - Points a, b, c, and d appear in a certain circuit....Ch. 1 - In your own words, define an ideal conductor; an...Ch. 1 - Name four types of dependent sources and give the...Ch. 1 - State Ohm’s law, including references.Ch. 1 - Draw a circuit that contains a 5 resistance, a...Ch. 1 - Repeat Problem P1.50, placing all three elements...Ch. 1 - The resistance of a certain copper wire is 0.5. ....Ch. 1 - Draw a circuit that contains a 5 resistor, a 10-V...Ch. 1 - Draw a circuit that contains a 5 resistor, a 10-V...Ch. 1 - A power of 100 W is delivered to a certain...Ch. 1 - The voltage across a 10 resistor is given by...Ch. 1 - The voltage across a 10 resistor is given by...Ch. 1 - A certain wire has a resistance of 0.5 . Find the...Ch. 1 - Plot i versus v to scale for each of the parts of...Ch. 1 - Which of the following are self-contradictory...Ch. 1 - Consider the circuit shown in Figure P1.61. Find...Ch. 1 - Consider the circuit shown in Figure P1.62. Find...Ch. 1 - Consider the circuit shown in Figure P1.63. Find...Ch. 1 - Consider the circuit shown in Figure P1.64. Use...Ch. 1 - Determine the value of Ix in the circuit shown in...Ch. 1 - Consider the circuit shown in Figure P1.66. Figure...Ch. 1 - Prob. 1.67PCh. 1 - Consider the circuit shown in Figure P1.68. Figure...Ch. 1 - Solve for the currents shown in Figure P1.69....Ch. 1 - The circuit shown in Figure P1.70 contains a...Ch. 1 - Determine the value of vx and iy in the circuit...Ch. 1 - A 10-V independent voltage source is in series...Ch. 1 - A 10-V independent voltage source is in parallel...Ch. 1 - Consider the circuit shown in Figure P1.74. Figure...Ch. 1 - The circuit shown in Figure P1.75 contains a...Ch. 1 - For the circuit shown in Figure P1.76, solve for...Ch. 1 - For the circuit shown in Figure P1.77, solve for...Ch. 1 - Match each entry in Table T1.1(a) with the best...Ch. 1 - Prob. 1.2PTCh. 1 - The circuit of Figure T1.3 has I1=3A , I2=1A ,...Ch. 1 - The circuit shown in Figure T1.4 has Vs=12V ,...Ch. 1 - We are given Vs=15V , R=10 , and =0.3S for the...Ch. 1 - We are given i4=2A for the circuit of Figure T1.6....
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