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We have that the instantaneous magnetic field H of a wave propagating in 5. lossless linear, homogeneous, isotropic, (LHI) material that is charge free, non-magnetic Ho) and has a dielectric relative permittivity of e, The instantaneous representation of the magnetic field intensity is given as; H 25 cos(T x 10e + 0.5ry) uA/m (a) Is this wave a uniform plane wave? If so, explain which plane, and why, or wity not, is te wave uniform. Which direction and with what velocity is this plane wave traveling in? (b) Calculate the relative permittivity &. and the compiex permittivitye of this medium that this wave is propagating in. (c) Calculate the phasor magnetic field intensity H based on the phaser transform (d) State whose law that you will use, write down that expression, and then caiculate the par electric field intensity E of this wave. Show the proper units (e) For this to be a TEM plane wave what electric and magnetic fieid aompements (Ex, Ey, E, Hy, H, and H,) must be equal to zero? For this to be a uniform piane wave what derivatives (a/ax, a/ay, a/az) of the remaining field components must be oqua to zero? Calculate the instantaneous time electric field intensity E af this wave and st what the amplitude and phase relationship between the electric field E and magnetic field H is.

Answer 1

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