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The height of an ocean wave is described by the function
Determine the phase velocity and wavelength, and then sketch
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Fundamentals of Applied Electromagnetics (7th Edition)
- A standing wave has the following wave-function: y(x,t) = 0.2 sin(3πx) cos(12πt), where x and y are in meters, and t is in seconds. If the length of the string is L = 2 m and it is fixed at both ends, then the harmonic, n, in which the string isarrow_forwardThe parameters of a certain undistorted transmission line operating at 12 MHz are L = 0.4 μH/m, C = 40 pF/m, and R = 20 Ω/m. If the wave travels 5m, what is its phase shift at this distance? (write it in radians)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 impedance value of the wave? 238 Ohm 377 Ohm 120 Ohm 150 Ohmarrow_forward
- True 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_forwardA plane wave propagating through a medium with er = 8, μr = -2 has E = 0.5 e-z/3 sin(108t - βz) ax V/m. Determine (a) β (b) The loss tangent (c) Wave impedance (d) Wave velocity (e) H fieldarrow_forwardTwo identical sinusoidal waves with wavelengths of 1.5 m travel in the same direction at a speed of 25 m/s. If the two waves originate from the same starting point, but with time delay ∆t between them, and with resultant amplitude A_resultant = √3 A then ∆t will be equal to:arrow_forward
- 3. The equation of an AM wave is given by vAM = 15 (1+0.6Sin 40820 t) Sin(25.12 x 105 t) This is given to an antenna of load resistance 60 ohms. Find (d) Lower side band (LSB) power (e) the total transmitted current (IT) (f) Total transmitted power Note: Please do not handwrittenarrow_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_forwardA 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_forward
- The electric field expression of a homogeneous plane wave is given as: E = 5sin (3pi * 10 ^ 8-pi * z) ax + 5cos (3pi * 10 ^ 8t-pi * z) ay; a) Find: Beta, up, lambda and f. b) Find H.arrow_forwardAn electromagnetic wave travels through a homogeneous dielectric medium with a frequency of ω = 4.6 × 1015 rad/s and k = 2.2 × 107 rad/m. The electric field of the wave is E = (210 V/m)jei (kx − ωt). (a) Determine the permittivity and (b) the irradiance of the wave.arrow_forwardAn EM wave in free space is described by H = 0.4 cos(108t+βy) A/M Determine (a) the angular frequencyωarrow_forward
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