Fundamentals of Applied Electromagnetics (7th Edition)
7th Edition
ISBN: 9780133356816
Author: Fawwaz T. Ulaby, Umberto Ravaioli
Publisher: PEARSON
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Chapter 6.2, Problem 1E
For the loop shown in Fig. 6-3, what is
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2. Using the approximate method, hand sketch the Bode plot for the following transfer
functions.
a) H(s) = 10
b) H(s) (s+1)
c) H(s):
=
1
=
+1
100
1000 (s+1)
10(s+1)
d) H(s) =
(s+100)
(180+1)
Q4: Write VHDL code to implement the finite-state machine described by the state
Diagram in Fig. 1.
Fig. 1
1. Consider the following feedback system.
Bode plot of G(s) is shown below.
Phase (deg)
Magnitude (dB)
-50
-100
-150
-200
0
-90
-180
-270
101
System: sys
Frequency (rad/s): 0.117
Magnitude (dB): -74
10°
K
G(s)
Bode Diagram
System: sys
Frequency (rad/s): 36.8
Magnitude (dB): -99.7
System: sys
Frequency (rad/s): 20
Magnitude (dB): -89.9
System: sys
Frequency (rad/s): 20
Phase (deg): -143
System: sys
Frequency (rad/s): 36.8
Phase (deg): -180
101
Frequency (rad/s)
a) Determine the range of K for which the closed-loop system is stable.
102
10³
b) If we want the gain margin to be exactly 50 dB, what is value for K we should
choose?
c) If we want the phase margin to be exactly 37°, what is value of K we should choose?
What will be the corresponding rise time (T) for step-input?
d) If we want steady-state error of step input to be 0.6, what is value of K we should
choose?
Chapter 6 Solutions
Fundamentals of Applied Electromagnetics (7th Edition)
Ch. 6.2 - Explain Faradays law and the function of Lenzs...Ch. 6.2 - Prob. 2CQCh. 6.2 - Prob. 3CQCh. 6.2 - For the loop shown in Fig. 6-3, what is Vemftr if...Ch. 6.2 - Suppose that the loop of Example 6-1 is replaced...Ch. 6.4 - Suppose that no friction is involved in sliding...Ch. 6.4 - Is the current flowing in the rod of Fig. 6-10 a...Ch. 6.4 - For the moving loop of Fig. 6-9, find I when the...Ch. 6.4 - Suppose that we turn the loop of Fig. 6-9 so that...Ch. 6.5 - Contrast the operation of an ac motor with that of...
Ch. 6.5 - Prob. 7CQCh. 6.5 - Prob. 8CQCh. 6.7 - A poor conductor is characterized by a...Ch. 6.8 - When conduction current flows through a material,...Ch. 6.8 - Verify that the integral form of Ampres law given...Ch. 6.10 - Explain how the charge continuity equation leads...Ch. 6.10 - How long is the relaxation time constant for...Ch. 6.10 - Determine (a) the relaxation time constant and (b)...Ch. 6.11 - Prob. 7ECh. 6 - The switch in the bottom loop of Fig. P6.1 is...Ch. 6 - The loop in Fig. P6.2 is in the xy plane and B =...Ch. 6 - A coil consists of 100 turns of wire wrapped...Ch. 6 - A stationary conducting loop with an internal...Ch. 6 - A circular-loop TV antenna with 0.02 m2 area is in...Ch. 6 - The square loop shown in Fig. P6.6 is coplanar...Ch. 6 - The rectangular conducting loop shown in Fig. P6.7...Ch. 6 - Prob. 8PCh. 6 - Prob. 9PCh. 6 - A 50 cm long metal rod rotates about the z axis at...Ch. 6 - The loop shown in P6.11 moves away from a wire...Ch. 6 - The electromagnetic generator shown in Fig. 6-12...Ch. 6 - The circular, conducting, disk shown in Fig. P6.13...Ch. 6 - The plates of a parallel-plate capacitor have...Ch. 6 - A coaxial capacitor of length l = 6 cm uses an...Ch. 6 - The parallel-plate capacitor shown in Fig. P6.16...Ch. 6 - In wet soil, characterized by = 102 (S/m), r = 1,...Ch. 6 - An electromagnetic wave propagating in seawater...Ch. 6 - At t = 0, charge density v0 was introduced into...Ch. 6 - If the current density in a conducting medium is...Ch. 6 - Prob. 21PCh. 6 - If we were to characterize how good a material is...Ch. 6 - The electric field of an electromagnetic wave...Ch. 6 - The magnetic field in a dielectric material with ...Ch. 6 - Given an electric field E=xE0sinaycos(tkz), where...Ch. 6 - The electric field radiated by a short dipole...Ch. 6 - A Hertzian dipole is a short conducting wire...Ch. 6 - In free space, the magnetic field is given by...Ch. 6 - The magnetic field in a given dielectric medium is...
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