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 4.6P
A 10.0-MHz magnetic field travels in a fluid for which the propagation velocity is
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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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- The axis of a circular cylinder coincides with the z-axis and it rotates with an angular velocity of (3i−5j +9k) rad/s. Determine the tangential velocity at a point P on the cylinder, whose co-ordinates are ( j +5k) metres, the magnitude of the tangential velocity iii. Derive the electromagnetic wave equation considering a region with no charges and currents, such as in a vacuum.arrow_forwardA linearly polarised EM wave is propagating in the x-direction in free space. Its frequency is 2 x 1014 Hz, its amplitude is 5 V/m and the plane of polarisation is oriented at 60o with respect to the y-direction. Write down a numeric expression for the electric field vector of this EM wave including its dependence on position and time.arrow_forwardA RHCP plane with an electric field strength of 10V/m with a frequency of f-3GHz propagating in the (3,8,2) direction.Explain and write the electric and magnetic field vectors of the wave..arrow_forward
- An wave is travelling through free space. If the electric field associated with the wave is 6V/m, then estimate the magnetic field associated with the wave.arrow_forwardTrue or False. 1. If the propagation constant is complex valued, E and H does not attenuate and are in-phase. 2. In general, when electromagnetic wave propagates in any media, the EM wave does not attenuate and the electric and magnetic fields are out-of-phase. Please explain.arrow_forwardThe plane wave with a frequency of 3 GHz has a relative dielectric constant of 2.5, a loss tangent of 0.05, and travels in a non-magnetic medium. What is the phase constant of the wave?arrow_forward
- At a frequency of 3 GHz and y-polarized, a plane wave travels in a magnetic medium with a dielectric constant of 2.5 and a loss tangent of 0.05 in the + x direction.a) Determine the distance at which the amplitude of the propagating wave will be halved.b) Find the impedance, wavelength and phase velocity of the wave in the medium.c) Assume E = ay50Sin (6pi (10 ^ 9) t + pi / 3) (V / m) at x = 0 and write the instantaneous expression of H for each t and x.arrow_forwardThe magnetic field associated with a uniform plane wave propagating in alossless, nonmagnetic medium (σ=0, μ=μ0) is given byh(y,t ) = ˆx 0.025 cos(3π × 108 t − 1.5π y) A/mFind the time-average Poynting vector.arrow_forwardCan you solve this problem step by steps A uniform plane wave propagating through a medium has E = 2 e-αz sin (106 t –βz) ay V/m.If the medium is characterized by εr = 1, μr = 10, and σ = 3 mhos/m, find(a) Check whether the medium is conductive or not(b) The attenuation constant and phase constant (c) Skin depth(d) H fieldarrow_forward
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