Engineering Electromagnetics
9th Edition
ISBN: 9780078028151
Author: Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher: Mcgraw-hill Education,
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Chapter 2, Problem 2.18P
(a) Find E in the plane z=0 that is produced by a uniform line charge ,p1, extending along the z axis over the range –L < z < L in a cylindrical coordinates system .(b) If the finite line charge is approximated by the an infinite line charge (L-�), by what percentage is E, in error if p = 0.5L? (c) Report (b) P = 0.1L.
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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) =
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Q4: Write VHDL code to implement the finite-state machine described by the state
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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
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Chapter 2 Solutions
Engineering Electromagnetics
Ch. 2 - Three point charges of equal magnitude q, that...Ch. 2 - Point charges of 1nC and -2 nC are located...Ch. 2 - Point charges of 50 nC each are located at...Ch. 2 - Eight identical point charges of Q C each are...Ch. 2 - A point charge of 3 nC is located at the point...Ch. 2 - Two point charges of equal magnitude q are...Ch. 2 - Point charges of equal magnitude but of opposite...Ch. 2 - A crude device for measuring charge consists of...Ch. 2 - A 100-nCpoint charges is located at A(-1,1,3)in...Ch. 2 - A configuration of point charges consists of a...
Ch. 2 - A charge Q0 located at the origin in free product...Ch. 2 - Electrons are in random in a fixed region in...Ch. 2 - A uniform volume charge density of 0.2 μC/m3 is...Ch. 2 - The electron beam in a certain cathode ray tube...Ch. 2 - A spherical volume having a 2-/μm radius contains...Ch. 2 - Within a region of free space, charge density...Ch. 2 - A length d of the charge lies on the Z-axis infree...Ch. 2 - (a) Find E in the plane z=0 that is produced by a...Ch. 2 - A line having charge density p0|C|C/m and of...Ch. 2 - A line charge of uniform charge density p0 C/m and...Ch. 2 - A charged filament forms a circle of radius a in...Ch. 2 - Prob. 2.22PCh. 2 - A disk of radius a in the xy plane carries surface...Ch. 2 - (a) Find the electric field on the z-axis produced...Ch. 2 - A disk of radius a in the xy plane carries surface...Ch. 2 - (a) Find the electric intensity on the z- axis...Ch. 2 - Given the electric field E=(4x2y)ax(2x+4y)ay, find...Ch. 2 - An electric dipole (introduced in Problem 2.7, and...Ch. 2 - If E=20e5y(cos5xaxsin5xay) ,find (a)...Ch. 2 - For fields that do not vary with z in cylindrical...
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