Fundamentals of Applied Electromagnetics (7th Edition)
7th Edition
ISBN: 9780133356816
Author: Fawwaz T. Ulaby, Umberto Ravaioli
Publisher: PEARSON
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Chapter 6.11, Problem 7E
To determine
The value of
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Which is correct for the reflection and transmission coefficients of the electromagnetic wave perpendicular to the plane surface separating the two dielectric mediums. The impedance of the medium with the incoming wave is 100 ohms, and the impedance of the medium with the transmitted wave is 200 ohms.
a-Reflection coefficient 3, transmission coefficient 4b-Reflection coefficient 1/3, transmission coefficient 4/3c-Reflection coefficient -1, transmission coefficient 0d-Reflection coefficient 1, transmission coefficient 2
In a uniform electromagnetic wave which is at a significant distance from the source of energy if the wave is falling from medium 1(z<0,σ=0,µr = 2,ɛr =9) to a second medium where the values are (z>0,σ=0,µr = 16,ɛr =4) . Find the values of reflection and transmission coefficient in this scenario
A plane wave of which the electric field vector, E0=10V/m, f=5GHz, is parallel to x-z plane, arrives on a dielectric medium of permittivity εr,=4 with an incident angle of 45∞. Find the reflection coefficient, Γ, transmission coefficients, T, and reflection, transmission angles.
Calculate the incident angles for zero reflection and full reflection.
Calculate the phase velocity and wavelenght in both media.
Chapter 6 Solutions
Fundamentals of Applied Electromagnetics (7th Edition)
Ch. 6.2 - Explain Faradays law and the function of Lenzs...Ch. 6.2 - Prob. 2CQCh. 6.2 - Prob. 3CQCh. 6.2 - For the loop shown in Fig. 6-3, what is Vemftr if...Ch. 6.2 - Suppose that the loop of Example 6-1 is replaced...Ch. 6.4 - Suppose that no friction is involved in sliding...Ch. 6.4 - Is the current flowing in the rod of Fig. 6-10 a...Ch. 6.4 - For the moving loop of Fig. 6-9, find I when the...Ch. 6.4 - Suppose that we turn the loop of Fig. 6-9 so that...Ch. 6.5 - Contrast the operation of an ac motor with that of...
Ch. 6.5 - Prob. 7CQCh. 6.5 - Prob. 8CQCh. 6.7 - A poor conductor is characterized by a...Ch. 6.8 - When conduction current flows through a material,...Ch. 6.8 - Verify that the integral form of Ampres law given...Ch. 6.10 - Explain how the charge continuity equation leads...Ch. 6.10 - How long is the relaxation time constant for...Ch. 6.10 - Determine (a) the relaxation time constant and (b)...Ch. 6.11 - Prob. 7ECh. 6 - The switch in the bottom loop of Fig. P6.1 is...Ch. 6 - The loop in Fig. P6.2 is in the xy plane and B =...Ch. 6 - A coil consists of 100 turns of wire wrapped...Ch. 6 - A stationary conducting loop with an internal...Ch. 6 - A circular-loop TV antenna with 0.02 m2 area is in...Ch. 6 - The square loop shown in Fig. P6.6 is coplanar...Ch. 6 - The rectangular conducting loop shown in Fig. P6.7...Ch. 6 - Prob. 8PCh. 6 - Prob. 9PCh. 6 - A 50 cm long metal rod rotates about the z axis at...Ch. 6 - The loop shown in P6.11 moves away from a wire...Ch. 6 - The electromagnetic generator shown in Fig. 6-12...Ch. 6 - The circular, conducting, disk shown in Fig. P6.13...Ch. 6 - The plates of a parallel-plate capacitor have...Ch. 6 - A coaxial capacitor of length l = 6 cm uses an...Ch. 6 - The parallel-plate capacitor shown in Fig. P6.16...Ch. 6 - In wet soil, characterized by = 102 (S/m), r = 1,...Ch. 6 - An electromagnetic wave propagating in seawater...Ch. 6 - At t = 0, charge density v0 was introduced into...Ch. 6 - If the current density in a conducting medium is...Ch. 6 - Prob. 21PCh. 6 - If we were to characterize how good a material is...Ch. 6 - The electric field of an electromagnetic wave...Ch. 6 - The magnetic field in a dielectric material with ...Ch. 6 - Given an electric field E=xE0sinaycos(tkz), where...Ch. 6 - The electric field radiated by a short dipole...Ch. 6 - A Hertzian dipole is a short conducting wire...Ch. 6 - In free space, the magnetic field is given by...Ch. 6 - The magnetic field in a given dielectric medium is...
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- A plane electromagnetic wave is having a frequency of 20 MHz. If the value of relative permitivity and relative permeability is 5 and 4 respectively, what will be value of the velocity of the wave provided the medium is lossless.arrow_forwardThe E field of a plane electromagnetic wave traveling in a non- magnetic non- conducting medium is given by E=ax5cos(109t+30Z). What is the dielectric constant of the medium ?arrow_forwardA wave is normally incident upon a surface with a layered lossless dielectric. Find the magnitude of effective reflection coefficient if medium 1 is free space, medium 2 has a relative permittiviy of 4 medium 3 has a permittivity of 9, and the thickness of medium 2 is 12/2. ...arrow_forward
- a) Compare E and H in dielectric and well-conducting medium with E and H in empty space.b) How can you absorb electromagnetic waves in the microwave region? Please explain.c) A spacecraft returning to Earth has 1015 m-3 ionized atoms around it and creates a density. Find the plasma frequency accordingly. Determine the cutoff wavelength taking into account communication with the ground station.arrow_forwardCalculate: (a) The mean Poynting vector of the electromagnetic wave: Ei(x,t)=sin(108t-2x)âz [v/m] that propagates through the medium without loss with characteristics: μ1=4μ0 e ε1=ε0/16 (b)Calculate the average power that crosses a circular disk of radius 10 cm located on the x=1 plane;arrow_forwardIf for a plane wave, the electric field strength is 2 V/m and the magnetic field strngth is 5.2 mA/m, then estimate the value of the intrinsic impedance of the propagating mediumarrow_forward
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