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A propagating electric field is given by
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Chapter 4 Solutions
Fundamentals of Electromagnetics with Engineering Applications
- If 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_forwardA 120 MHz TE polarized wave with amplitude 1.0 V/m is obliquely incident from air (z < 0) onto a slab of lossless, nonmagnetic material with εr = 81 (z > 0). The angle of incidence is 70°. Evaluate the electromagnetic field conditions given to compute the values of the reflection and transmission coefficientsarrow_forwardA 1.3 GHz uniform wave of amplitude EX0 of 100 V/m at the origin is propagating in the z direction. The medium of propagation has the following parameters ε''=10 x10-11 F/m, ε'=1x10-11 F/m and μ=3x 10-6H/m. Find the instantaneous expression for the electric field.arrow_forward
- A y-polarized smooth plane wave at a frequency of 3 GHz is propagating in the + x direction in a magnetic medium with a dielectric constant of 2.5 and a loss tangent of 0.05,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 = ay 50sin (6π 10 9 t + π / 3) (V / m) at x = 0 and write your instantaneous expression of H for each t and x. (please show all steps one by one)arrow_forwardThe dielectric constant of a uniform plane wave with a frequency of 3 GHz is linearly polarized in the y direction. and propagates in the +x direction in a non-magnetic medium with a loss tangent (tanδc) of 10^-2. a) Determine the distance at which the amplitude of the propagating wave will be halved. b) Determine the self-impedance, wavelength, phase velocity and skin thickness of the medium wave. find it. c) x= 0 E=ay50sin(6π109t+π/3) V/m by accepting Instant expression of H(x,t) write.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_forward
- A field wave E with an amplitude of 40V/m propagating in air has a dielectric constant (Er) of 32 andA large, perfect dielectric (sigma=0, µr=1) of thickness d falls in a direction perpendicular to the plate.Calculate the amplitude of the wave just after it crosses the plate. helparrow_forwardWhich is correct for the electric field component after the electromagnetic wave is reflected perpendicular to the plane surface separating the two dielectric mediums? If the incident electric field component is 3 in the x direction, the reflected electric field component can be 5 in the x direction. If the incident electric field component is 3 in the x direction, the reflected electric field component is 3 in the x direction. If the incident electric field component is 3 in the x direction, the reflected electric field component is 3 in the -x direction. The reflected field component depends on the impedance values of the two environments.arrow_forwardA plane electromagnetic wave with frequency f = 5 MHz is propagating in sea water ( er = 72, mr = 1, and s = 4 S/m). Find: the loss tangent the attenuation constant the phase constant the intrinsic impedance the phase velocity the wavelength the “skin depth” the distance for which the electric field decreases to 1% of its value at the surfacearrow_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_forwardA uniform plane wave has a Ex0 = 100 V/m spreads in z direction in a dissipative material that has o = 20 S/m, ur = 1, Er= 50. if works at a frequency f = 300Mhz Find: Propagation constant (for k = 0 and k = 1), phase constant,dimming constantarrow_forwardIf the speed of the electromagnetic energy of the wave propagating in a rectangular waveguide filled with a material with a relative dielectric constant of 9 is 3.125*10^7 m/s, what is the phase velocity of the electromagnetic wave in Mm/s (megameters/second)?arrow_forward
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