Fundamentals of Applied Electromagnetics (7th Edition)
7th Edition
ISBN: 9780133356816
Author: Fawwaz T. Ulaby, Umberto Ravaioli
Publisher: PEARSON
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Chapter 1, Problem 4P
A wave traveling along a string is given by
where x is the distance along the string in meters and y is the vertical displacement. Determine: (a) the direction of wave travel, (b) the reference phase ϕ0, (c) the frequency, (d) the wavelength, and (e) the phase velocity.
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Chapter 1 Solutions
Fundamentals of Applied Electromagnetics (7th Edition)
Ch. 1.3 - Prob. 1CQCh. 1.3 - What is Coulombs law? State its properties.Ch. 1.3 - What are the two important properties of electric...Ch. 1.3 - What do the electrical permittivity and magnetic...Ch. 1.3 - What are the three branches and associated...Ch. 1.4 - How can you tell if a wave is traveling in the...Ch. 1.4 - Prob. 7CQCh. 1.4 - Why does a negative value of 0 signify a phase...Ch. 1.4 - Consider the red wave shown in Fig. E1.1. What is...Ch. 1.4 - The wave shown in red in Fig. E1.2 is given by...
Ch. 1.4 - The electric field of a traveling electromagnetic...Ch. 1.4 - Prob. 4ECh. 1.4 - The red wave shown in Fig. E1.5 is given by...Ch. 1.4 - An electromagnetic wave is propagating in the z...Ch. 1.5 - What are the three fundamental properties of EM...Ch. 1.5 - What is the range of frequencies covered by the...Ch. 1.5 - Prob. 11CQCh. 1.6 - Express the following complex functions in polar...Ch. 1.6 - Show that 2j=(1+j). (See EM.)Ch. 1.7 - Prob. 12CQCh. 1.7 - How is the phasor technique used when the forcing...Ch. 1.7 - A series RL circuit is connected to a voltage...Ch. 1.7 - A phasor voltage is given by V=j5V. Find (t).Ch. 1 - A 2 kHz sound wave traveling in the x direction in...Ch. 1 - For the pressure wave described in Example 1-1,...Ch. 1 - A harmonic wave traveling along a string is...Ch. 1 - A wave traveling along a string is given by...Ch. 1 - Two waves, y1(t) and y2(t), have identical...Ch. 1 - The height of an ocean wave is described by the...Ch. 1 - A wave traveling along a string in the +x...Ch. 1 - Two waves on a string are given by the following...Ch. 1 - Give expressions for y(x, t) for a sinusoidal wave...Ch. 1 - An oscillator that generates a sinusoidal wave on...Ch. 1 - Prob. 11PCh. 1 - Given two waves characterized by...Ch. 1 - The voltage of an electromagnetic wave traveling...Ch. 1 - A certain electromagnetic wave traveling in...Ch. 1 - Prob. 15PCh. 1 - Prob. 16PCh. 1 - Complex numbers z1 and z2 are given z1=3j2z2=4+j3...Ch. 1 - Complex numbers z1 and z2 are given by...Ch. 1 - If z=2+j4, determine the following quantities in...Ch. 1 - Find complex numbers t=z1+z2 and s=z1z2, both in...Ch. 1 - Complex numbers z1 and z2 are given by...Ch. 1 - If z=3j5, find the value of ln(z).Ch. 1 - If z = 3 j4. find the value of ez.Ch. 1 - Prob. 24PCh. 1 - A voltage source given by s(t)=25cos(2103t30)(V)...Ch. 1 - Find the phasors of the following time functions:...Ch. 1 - Find the instantaneous time sinusoidal functions...Ch. 1 - A series RLC circuit is connected to a generator...Ch. 1 - The voltage source of the circuit shown in Fig....
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