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 4.30P
Suppose in free space that
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The figure shows the electric field strength of a plane wave propagating in a lossless medium as a function of position.
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Question
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The intrinsic impedance of a medium is given by
impedance in free space is:
Hint: -8.854x10 and μo -4m x 10' H/m
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Give a sinusoidal solution equation 1 2 3 4 and 5 in 3D for plane waves.
Subject is Electromagnetic Field Theory (EFT ).
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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- Using the diferential length dl, find the length of the curve p= 3 π/4 < phi < π/2 z=constant.arrow_forwardThe magnetic field phasor of a uniform plane wave traveling in a non-magnetic medium with intrinsic impedance. n = 100 N is Ĥ = (59 + 32)e-/4x (mA/m). a) What is the direction of wave propagation? b) Find the frequency of the signal. c) Is this wave traveling in lossy or lossless media? Show your work and explain. d) Find the associated electric field phasor.arrow_forwardA standing wave with wavelength A = 1.2 m and frequencyf = 50 Hz is generated on a stretched cord. For an element of the cord at x = 0.5 m, the maximum transverse %3D velocity is v(y,max) = 2Tt m/s. The amplitude A of each of the individual waves producing %3D the standing wave is: O 0.03 m 0.01 m 0.025 m 0.02 m 0.0125 marrow_forward
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- A rectangular copper block is depth d along z, width w along y, and length / along x. In response to a wave incident upon the block from above, a current is induced in the block in the positive x-direction. Determine the ratio of the ac resistance of the block to its dc resistance at frequency f. 0: 5.8.107.- S m /:=1.2 m d: 40 cm W: 50 cm f:=2 kHzarrow_forwardThe magnetic field component of a plane wave in a lossless dielectric is H = 30 sin (2nx 10°t – 5z) a, mA/m a. If u=1 find b. Determine the direction of wave propagation c. Determine the polarization of the wave. d. Calculate the wavelength and wave velocity. e. Determine the wave impedance. f. Find the corresponding electric field component. g. Find the displacement current density. Er.arrow_forwardEM waves in a non-magnetic, lossless dielectric are given as follows: E(2.t) = 30.7 sin ( ox -:)à, H(2.t) = 0.5sin(ar - :) à, Find the wave velocity. Select one None ",-1.5x10'(m/sec) ", -3x10 (m/sec) ", -15x10'(rad/sec)| u,-0.75 x10'(m/sec)arrow_forward
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What Is a Plane Wave? — Lesson 2; Author: EMViso;https://www.youtube.com/watch?v=ES2WFevGM0g;License: Standard Youtube License