Fundamentals of Electromagnetics with Engineering Applications
1st Edition
ISBN: 9780470105757
Author: Stuart M. Wentworth
Publisher: Wiley, John & Sons, Incorporated
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Textbook Question
Chapter 4, Problem 4.35P
In a lossless, nonmagnetic media, the magnetic field at some point distant from a source at the origin is given by
Find the relative permittivity of the medium, the frequency and phase constant of the wave, and
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Given the following reaction system, where Xo is the input, i.e u(t) = k₁ × Xo:
$Xo -> x1; k1*Xo
x2; k2*x1
x1
2 x2 ->%;
k3*x2^2
x2 ->;
k4*x2
Xo
1; k1 = 0.4
k2 4.5; k3 = 0.75
k4= 0.2
a) Build the model in Tellurium and run a simulation. Compute the Jacobian at steady
state using the method getFull Jacobian(). Make sure you are at steady state!
b) Write out the values for n and p
c) Write out the differential equations.
d) Write out the state space representation in terms of the rate constants etc.
e) Compute the values in the Jacobian matrix from d) by substituting the values of the rate
constants etc and any data you need from the simulation.
f) Confirm that the Jacobian you get in e) is the same as the one computed from the
simulation in a).
g) Is the system stable or not? If you find an eigenvalue of zero, that means the system is
marginally stable. You can get the eigenvalues using the tellurium method r.getFullEigenvalues()
Solve by Pen and Paper not using chatgpt or AI
You just got a job at Shin-Etsu Chemical growing Si crystals with different dopants. Howmuch Ga needs to be added to 800 kg of Si melt to achieve a 5-10 Ω.cm (measured at midheight) Si CZ crystal with the following characteristics: height: 7 ft, width: 12 inchesdiameter. Assume, angular rotation 10 RPM, melt viscosity 0.1 poise, pull velocity 2mm/min.a. Generate a plot of the doping distribution throughout the length of the crystal (CGa vs. fs ).b. If a second crystal were to be pulled out of the melt without replenishment of silicon nordopant what would be the average resistivity of this crystal (or resistivity at mid height)
Chapter 4 Solutions
Fundamentals of Electromagnetics with Engineering Applications
Ch. 4 - How long does it take for charge density to drop...Ch. 4 - At a particular point in a slab of silver, a...Ch. 4 - A current density is given by J=e.01taA/m2. Find...Ch. 4 - At t=0s, 60.0C is evenly distributed throughout a...Ch. 4 - A propagating electric field is given by...Ch. 4 - A 10.0-MHz magnetic field travels in a fluid for...Ch. 4 - Modify the simple wave program in MATLAB 4.1 to...Ch. 4 - Modify the traveling wave program in MATLAB 4.2 to...Ch. 4 - Prob. 4.9PCh. 4 - A bar magnet is dropped through a conductive ring....
Ch. 4 - Considering Figure 4.7, suppose the area of a...Ch. 4 - Sometimes a transformer is used as an impedance...Ch. 4 - Prob. 4.13PCh. 4 - The mean length around a nickel core of a...Ch. 4 - A triangular wire loop has its vertices at the...Ch. 4 - Referring to Figure 4.23, suppose a conductive bar...Ch. 4 - Suppose we have a conductive bar moving along a...Ch. 4 - The radius r of a perfectly conducting metal loop...Ch. 4 - Rederive Vemf for the rectangular loop of Figure...Ch. 4 - In Figure 4.16, replace the rectangular loop with...Ch. 4 - Prob. 4.21PCh. 4 - Prob. 4.22PCh. 4 - A Faraday disk generator is similar to the...Ch. 4 - Prob. 4.24PCh. 4 - Prob. 4.25PCh. 4 - Suppose a vector field is given by A=2cosaz Verify...Ch. 4 - A pair of 60cm2 area plates are separated by a...Ch. 4 - Plot the loss tangent of seawater ( =4S/m and r=81...Ch. 4 - A 1.0-m-long coaxial cable of inner conductor...Ch. 4 - Suppose in free space that E(z,t)=5.0e2ztaxV/m. Is...Ch. 4 - An electric field propagating in a lossless...Ch. 4 - A magnetic field propagating in free space is...Ch. 4 - Find the instantaneous expression for E for the...Ch. 4 - Given, at some point distant from a source at the...Ch. 4 - In a lossless, nonmagnetic media, the magnetic...Ch. 4 - Suppose, in a nonmagnetic medium of relative...Ch. 4 - Prob. 4.37PCh. 4 - Prob. 4.38PCh. 4 - Prob. 4.39PCh. 4 - Find E(z,t) in Problem 4.32 using phasors.Ch. 4 - Prob. 4.41PCh. 4 - Find H(y,t) in Problem 4.36 using phasors.Ch. 4 - In MATLAB 4.4, a polar plot of the phasor...
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