Fundamentals of Applied Electromagnetics (7th Edition)
7th Edition
ISBN: 9780133356816
Author: Fawwaz T. Ulaby, Umberto Ravaioli
Publisher: PEARSON
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Textbook Question
Chapter 1.6, Problem 7E
Express the following complex functions in polar form:
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In the given expression below, what is the resulting computed value (in rectangular form)?
Z = (2 + j3) x (3 + j4) – (1 + j5)
The voltage wave propagating on a transmission line is given in real space-time form as v(z, t) = 10cos(4π*108 t +1.6 π z) + 6cos(4 π *108 t - 1.6 π *z) .the voltage expression in phasor form.
Determine: re, Zi, Zo, Av (use appropriate approximation)
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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- The total capacitance and inductance are C=2x10^(-6) F and L=3x10^(-6) H. The physical length of the line is 900 m. (up to 4 decimal places) >time delay t_d >velocity factor k >velocity of propagation v_p in m/s using the distributed parameters >velocity of propagation v_p in m/s using the relative dielectric constant.arrow_forwardlet, x=2 y=2 z=9arrow_forwards(t) = 2 sin(180πt) + 3 cos(220πt) Calculate the frequency domain representation of the pre-envelopeS+(f)ofs(t)arrow_forward
- A transmission line has the following primary constants: resistance R = 15 /loop km, inductance L = 3.4 mH/loop km, conductance G = 3µS/km and capacitance C = 10 nF/km. Determine the characteristic impedance of the line when the frequency is 2 kHzarrow_forwardThe parameters of a certain transmission line operating at ω = 6×108 rad/s are L = 0.35μH/m, C = 40 pF/m, G = 75 μS/m, and R = 17 Ω/m. Find α, β, λ, and Z0.arrow_forward2. If D = 10 ρ2 sin2φ ap + 8 ρ2 cos2φ aφ C/m2 for the region 2 < ρ < 4, 2 rad < φ < 4 rad, 1 < z < 2. a.) evaluate the left side of Divergence Theoremb.) evaluate the right side of Divergence Theoremarrow_forward
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