Fundamentals of Applied Electromagnetics (7th Edition)
7th Edition
ISBN: 9780133356816
Author: Fawwaz T. Ulaby, Umberto Ravaioli
Publisher: PEARSON
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Question
Chapter 7, Problem 32P
(a)
To determine
Whether the conductors thick enough to be considered infinitely thick as far as the flow of current through them is concerned or not.
(b)
To determine
The surface resistance of the cable.
(c)
To determine
The ac resistance per unit length of the cable.
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A linear electrical load draws 11 A at a 0.72 lagging power factor./1 153. When a capacitor is connected, the line current dropped to 122 A and the power factor
improved to 0.98 lagging. Supply frequency is 50 Hz.
a. Let the current drawn from the source before and after introduction of the capacitor be 11 and 12
respectively. Take the source voltage as the reference and express 11 and 12 as vector
quantities in polar form.
b. Obtain the capacitor current, IC = 12 - 11, graphically as well as using complex number
manipulation. Compare the results.
c. Express the waveforms of the source current before (11(t)) and after (12(t)) introduction of the
capacitor in the form Im sin(2лft + 0). Hand sketch them on the same graph. Clearly label your
plots.
d. Analytically solve i2(t) – i1(t) using the theories of trigonometry to obtain the capacitor current
in the form, ¡C(t) = ICm sin(2πft + OC). Compare the result with the result in Part b.
Transmission line data:Data:• Active power of the load (P): 50 kW• Power factor of the load (PF): 0.8 (lagging)• Line-to-line voltage at the load (V_LC): 13.8 kV• Line resistance (R): 2 Ω• Line inductance (L): 0.8 H• Line capacitance (C): 0.0003 F• Required series compensation: 60% of the line impedance.• Line length: 250 kmDetermine:1. Characteristic impedance and propagation constant.2. The generalized long line constants A, B, C, D.3. Total voltage, current and power at the generating end.4. Voltage regulation.5. Parameters A, B, C, D of the compensation circuit.6. New generalized constants of the power system afterseries compensation.7. Conclusion of the results obtained.
3.18
In a single-phase half-wave ac-dc converter, the average value of the load
current is 1.78 A. If the converter is operated from a 240 V, 50 Hz supply
and if the average value of the output voltage is 27% of the maximum
possible value, calculate the following, assume the load to be resistive.
(a) Load resistance
(b) Firing angle
(c) Average output voltage
(d) The rms load voltage
(e) The rms load current
(f) DC power
(g) AC power
(h) Rectifier efficiency
(i) Form factor
(j) Ripple factor
Chapter 7 Solutions
Fundamentals of Applied Electromagnetics (7th Edition)
Ch. 7.2 - What is a uniform plane wave? Describe its...Ch. 7.2 - Since E and H are governed by wave equations of...Ch. 7.2 - If a TEM wave is traveling in the y direction, can...Ch. 7.2 - Prob. 1ECh. 7.2 - Prob. 2ECh. 7.2 - If the magnetic field phasor of a plane wave...Ch. 7.2 - Repeat Exercise 7-3 for a magnetic field given by...Ch. 7.3 - An elliptically polarized wave is characterized by...Ch. 7.3 - Prob. 5CQCh. 7.3 - The electric field of a plane wave is given by...
Ch. 7.4 - If the electric field phasor of a TEM wave is...Ch. 7.4 - The constitutive parameters of copper are = 0 = 4...Ch. 7.4 - Prob. 8ECh. 7.4 - For a wave traveling in a medium with a skin depth...Ch. 7.5 - Prob. 6CQCh. 7.5 - In a good conductor, does the phase of H lead or...Ch. 7.5 - Prob. 8CQCh. 7.5 - Is a conducting medium dispersive or...Ch. 7.5 - Compare the flow of current through a wire in the...Ch. 7.6 - Convert the following values of the power ratio G...Ch. 7.6 - Find the voltage ratio g corresponding to the...Ch. 7 - The magnetic field of a wave propagating through a...Ch. 7 - Prob. 2PCh. 7 - The electric field phasor of a uniform plane wave...Ch. 7 - The electric field of a plane wave propagating in...Ch. 7 - A wave radiated by a source in air is incident...Ch. 7 - The electric field of a planewave propagating in a...Ch. 7 - The magnetic field of a plane wave propagating in...Ch. 7 - A 60 MHz plane wave traveling in the x direction...Ch. 7 - Prob. 9PCh. 7 - For a wave characterized by the electric field...Ch. 7 - Prob. 11PCh. 7 - The magnetic field of a uniform plane wave...Ch. 7 - A linearly polarized plane wave of the form...Ch. 7 - The electric field of an elliptically polarized...Ch. 7 - Compare the polarization states of each of the...Ch. 7 - Plot the locus of E(0, t) for a plane wave with...Ch. 7 - Prob. 17PCh. 7 - Prob. 18PCh. 7 - In a medium characterized by r = 9, r = 1, and =...Ch. 7 - Prob. 20PCh. 7 - Prob. 21PCh. 7 - Prob. 22PCh. 7 - The skin depth of a certain nonmagnetic conducting...Ch. 7 - Prob. 24PCh. 7 - The electric field of a plane wave propagating in...Ch. 7 - The magnetic field of a plane wave propagating in...Ch. 7 - At 2 GHz, the conductivity of meat is on the order...Ch. 7 - In a nonmagnetic, lossy, dielectric medium, a 300...Ch. 7 - A rectangular copper block is 30 cm in height...Ch. 7 - Prob. 30PCh. 7 - The inner and outer conductors of a coaxial cable...Ch. 7 - Prob. 32PCh. 7 - The magnetic field of a plane wave traveling in...Ch. 7 - A wave traveling in a nonmagnetic medium with r =...Ch. 7 - The electric-field phasor of a uniform plane wave...Ch. 7 - Prob. 36PCh. 7 - A wave traveling in a lossless, nonmagnetic medium...Ch. 7 - At microwave frequencies, the power density...Ch. 7 - Consider the imaginary rectangular box shown in...Ch. 7 - Repeat Problem 7.39 for a wave traveling in a...Ch. 7 - Given a wave with E=x E0 cos(t kz): (a) Calculate...Ch. 7 - Prob. 42P
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