Fundamentals of Electromagnetics with Engineering Applications
Fundamentals of Electromagnetics with Engineering Applications
1st Edition
ISBN: 9780470105757
Author: Stuart M. Wentworth
Publisher: Wiley, John & Sons, Incorporated
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Chapter 5, Problem 5.19P

(a)

To determine

The attenuation constant α and phase constant β .

(b)

To determine

The instantaneous magnetic field intensity H .

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If C is the circle |z|=4 evaluate ff(z)dz for each of the following functions using residue. Z (a)f(z) = z²-1 Z+1 1 (b)f(z) = = (c)f(z) = z²(z+2) z(z-2)³ z² 1 1 (d) f(z) = = (e) f(z) = (f) f(z) = (z²+3z+2)² z²+z+1 z(z²+6z+4)
5. Answer the following questions. Take help from ChatGPT to answer these questions (if you need). Write the answers briefly using your own words with no more than two sentences, and check whether ChatGPT is giving you the appropriate answers in the context of our class. a) What is the Bode plot? What kind of input do we consider for the frequency-response- based method? b) What is the advantage of design using the frequency-response method? c) Define gain margin, phase margin, gain crossover frequency, and phase crossover frequency.
Phase (deg) 3. The Bode diagram of a system is shown below. Magnitude (dB) System: sys -10 Frequency (rad/s): 0.141 Magnitude (dB): -15.6 -20 -30 40 -50 -60 0 -45 -90 -135 101 10° Bode Diagram System: sys Frequency (radis): 10 Magnitude (dB): -18.9 System: sys Frequency (rad/s): 10 Phase (deg):-52.2 101 Frequency (rad/s) 102 103 Find the steady-state output of the system for each of the following inputs. a) u(t) = 100 b) u(t) 100 cos(10 t + 10°) = c) u(t) = 500 + 200 cos(10 t + 10°)

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Fundamentals of Electromagnetics with Engineering Applications

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