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 10P
An oscillator that generates a sinusoidal wave on a string completes 20 vibrations in 50 s. The wave peak is observed to travel a distance of 2.8 m along the string in 5 s. What is the wavelength?
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3. VEB (on) 0.7 V, VEC (sat) = 0.2 V, and ẞ = 150. RB = 50 kQ, Rc = 2 kQ, and Vcc =
5 V.
a) Find the range of V₁ for the cut-off. Forward active, and saturation regions. (20
points)
b) Draw the voltage transfer characteristic (VTC) graph. (10 points)
Vcc
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Rc
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2-1) Lathi & Ding prob. 2.5-2 For the signals y(t) and x(t) shown below, find the component of the form
y(t) contained in x(t). In other words, find the optimum value of c in the approximation x(t) = cy(t) so that
the error signal energy is minimum. Also compute the error signal energy.
y(t)
x(t)
0
1
0
1
1. Is1 = 2ls2 = 4 × 10-16 A, B₁ = ẞ2 = 100, and R₁ = 5 kQ. Find the VB such that lx = 1 mA.
(30 points)
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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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- 2-2) Lathi & Ding prob. 2.6-1 2.6-1 Find the correlation coefficient p between of signal x(t) and each of the four pulses g1(1), 82(1), 83(1), and g4(f) shown in Fig. P2.6-1. To provide maximum margin against the noise along the transmission path, which pair of pulses would you select for a binary communication? Figure P.2.6-1 x(f) (a) 8(1) (b) 82(1) (c) 1 1 sin 2πt sin 4πt -sin 2 0 0.707 83(1) 0 1 (d) 0 M P 0.707 84(1) (e) 0 0.5 -0.707arrow_forward2. Determine the operation point and the small-signal model of Q₁ for each of the circuits shown in Fig. 2. Assume Is = 8 × 10-16 A, B = 100 and VA = ∞. a) 20 points b) 20 points 0.8 V RC 50 Ω + Vcc = 2.5 V 4A" Figure 2-a Rc1kQ + Vcc = 2.5 V Figure 2-barrow_forwardPlease explain in detail how to solve this question. Show detailed steps in terms of calculation and theory. thank youarrow_forward
- Finding crystallographic direction Z pt. 2 head pt. 1: ៩ Example 2: pt. 1 x₁ = a, y₁ = b/2, z₁ = 0 pt. 2 x2=-a, y₂ = b, Z₂ = c -a-a b-b/2 c-0 a b c tail => -2, 1/2, 1 Multiplying by 2 to eliminate the fraction -4,1,2 => [412] where the overbar represents a negative index families of directionsarrow_forwardCrystallographic planes Crystallographic planes are denoted by Miller indices. 5b Algorithm for Miller indices 1. Read off intercepts of plane with axes in terms of a, b, c 2. Take reciprocals of intercepts 3. Reduce to smallest integer values 4. Enclose in parentheses, no commas. 353 1/3 1/5 1/3 535 (535) In the cubic system, a plane and a direction with the same indices are orthogonal. E.g. [100] direction is perpendicular to (100) plane. Correspondingly, [123] direction is perpendicular to (123) plane. [2,3,3] Plane intercepts axes at 3a, 2b, 2c 2 11 1 Reciprocal numbers are: 3'2'2 b. Indices of the plane (Miller): (2,3,3) 2 a Indices of the direction: [2,3,3] X (200) (100) (110) (111) (100) Indices of crystallographic plane can be found from cross product of indices of any two non-parallel directions in this plane.arrow_forwardCrystallographic positions Crystallographic position is denoted by three numbers, which are coefficients of the position vector, e.g. ½½½ for the red atom. Here the 'new' atom is at a/2 + b/2 + c/2 Silicon crystal has so-called "diamond type lattice". Each Si atom has 4 nearest neighbors. Diamond lattice starts with a FCC lattice and then adds four additional INTERNAL atoms at locations r = a/4+b/4+c/4 away from each of the atoms. In other words, diamond lattice is formed by two FCC lattices sifted by the vector r.arrow_forward
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