Fundamentals of Applied Electromagnetics (7th Edition)
7th Edition
ISBN: 9780133356816
Author: Fawwaz T. Ulaby, Umberto Ravaioli
Publisher: PEARSON
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Chapter 9, Problem 37P
(a)
To determine
The array factor and plot the pattern in the
(b)
To determine
The array factor and plot the pattern in the
(c)
To determine
The array factor and plot the pattern in the
(d)
To determine
The array factor and plot the pattern in the
(e)
To determine
The array factor and plot the pattern in the
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1) (5 pts) Note have to use nodal analysis at Vp and Vn.
a) Determine Vout in the following ideal op-amp circuit. The power supplies supplying
power to the op-amp have voltage values of ±15 volts (Vcc = +15 Volts, -VCC = -15Volts)
b) Determine the value of RĘ that makes Vo, -15 Volts.
c) What value of RF makes Vo = 0 Volts?
out
F
out
=
2V
1V
25K
10K
2V
1V
30K
100K
RF
12K
12K
+
E
น
out
E
2) (5 pts) Find Vout in the following circuit. Perform nodal analysis at nodes VN, VP and Va
20K
Va
20K
10K
10K
1 V
2 V
5K
Vout
15K
Note: There is no restriction on the value
for Vout for this problem.
3) (5 pts) For the Thevenin equivalent circuit shown, answer the following questions:
250 Ohms a
200 V
°
b
a) What load resistor results in maximum power delivered to that resistor?
b) What is the maximum power delivered to the resistor in…
Suppose the Laplace transform of a causal signal x₁ (t) is given by
X₁(s)
s+2
s²+1
(a) What is the Fourier transform X₁ (w) of the signal?
(b) Using the Laplace transform properties, find the Laplace transform of the following signal
x2(t).
x2(t) = e³ x₁(t−1)-4x₁(4)
Note, you do not need to simplify the expression of X2(s). However, state whether it is
possible to write X2(s) as a rational fraction (i.e. ratio of polynomials) in s.
Chapter 9 Solutions
Fundamentals of Applied Electromagnetics (7th Edition)
Ch. 9.1 - What does it mean to say that most antennas are...Ch. 9.1 - What is the radiated wave like in the far-field...Ch. 9.1 - In a Hertzian dipole, what is the underlying...Ch. 9.1 - Outline the basic steps used to relate the current...Ch. 9.1 - A 1 m long dipole is excited by a 5 MHz current...Ch. 9.2 - Prob. 5CQCh. 9.2 - What is the magnitude of the directivity of an...Ch. 9.2 - An antenna has a conical radiation pattern with a...Ch. 9.2 - Prob. 3ECh. 9.3 - What is the physical length of a half-wave dipole...
Ch. 9.3 - How does the radiation pattern of a half-wave...Ch. 9.3 - How does the radiation efficiency of a...Ch. 9.3 - Prob. 4ECh. 9.3 - Prob. 5ECh. 9.5 - Prob. 6ECh. 9.5 - At 100 MHz, the pattern solid angle of an antenna...Ch. 9.6 - If the operating frequency of the communication...Ch. 9.6 - Prob. 9ECh. 9.6 - Prob. 10ECh. 9.8 - Verify that Eq. (9.86) is a solution of Eq. (9.85)...Ch. 9.8 - Prob. 12ECh. 9.8 - What condition must be satisfied in order to use...Ch. 9.8 - Derive an expression for the array factor of a...Ch. 9.8 - Prob. 15ECh. 9.11 - Prob. 11CQCh. 9.11 - Prob. 12CQCh. 9.11 - Prob. 13CQCh. 9.11 - Prob. 14CQCh. 9.11 - Prob. 15CQCh. 9 - A center-fed Hertzian dipole is excited by a...Ch. 9 - A 50 cm long center-fed dipole directed along the...Ch. 9 - Prob. 3PCh. 9 - Determine the following: (a) The direction of...Ch. 9 - Repeat Problem 9.4 for an antenna with...Ch. 9 - A 2 m long center-fed dipole antenna operates in...Ch. 9 - Repeat Problem 9.6 for a 20 cm long antenna...Ch. 9 - Prob. 9PCh. 9 - An antenna with a radiation efficiency of 90% has...Ch. 9 - Prob. 11PCh. 9 - The normalized radiation intensity of a certain...Ch. 9 - Repeat Problem 9.6 for a 1 m long half-wave dipole...Ch. 9 - Prob. 14PCh. 9 - A 50 cm long dipole is excited by a sinusoidally...Ch. 9 - Prob. 16PCh. 9 - For a dipole antenna of length l = 3/2, (a)...Ch. 9 - Prob. 18PCh. 9 - Prob. 19PCh. 9 - Prob. 20PCh. 9 - A car antenna is a vertical monopole over a...Ch. 9 - Determine the effective area of a half-wave dipole...Ch. 9 - A 3 GHz line-of-sight microwave communication link...Ch. 9 - A half-wave dipole TV broadcast antenna transmits...Ch. 9 - A 150 MHz communication link consists of two...Ch. 9 - Consider the communication system shown in Fig....Ch. 9 - The configuration shown in Fig. P9.27 depicts two...Ch. 9 - Prob. 28PCh. 9 - The configuration shown in Fig. P9.29 depicts a...Ch. 9 - Prob. 30PCh. 9 - Prob. 31PCh. 9 - A uniformly illuminated rectangular aperture...Ch. 9 - An antenna with a circular aperture has a circular...Ch. 9 - Prob. 34PCh. 9 - Prob. 35PCh. 9 - Prob. 36PCh. 9 - Prob. 37PCh. 9 - Prob. 38PCh. 9 - Prob. 39PCh. 9 - Prob. 40PCh. 9 - Find and plot the normalized array factor and...Ch. 9 - Prob. 44PCh. 9 - A three-element linear array of isotropic sources...Ch. 9 - An eight-element linear array with /2 spacing is...Ch. 9 - A linear array arranged along the z axis consists...
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