A lossless transmission line consisting of a thin wire conductor and a ground co

Question

A lossless transmission line consisting of a thin wire conductor and a ground conducting plane, parallel to one another, in air, carries a traveling TEM wave. The complex rms surface current and charge densities are proportional to each other at every point of the surface of, (a) the wire only. (b) the ground plane only (c) both the wire and the plane. (d) neither of the conductors. (e) Need more information. A time harmonic TEM (transverse electromagnetic) wave of frequency f travels along a lossless transmission line consisting of several conductors of arbitrary cross section, in a homogeneous dielectric of permittivity and permeability mu. Consider the following basic propagation parameters of the line:the phase coefficient (beta), the phase velocity (v_p), and the wavelength along the (lamba_z). Which of these parameters is the same as for a uniform plane wave of the same frequency, f, propagating in an unbounded medium e having the same material parameters, element and permeability mu, as the dielectric of the transmission line? (a) beta and v_p only. (b) lamba_z only. (c) v_p and lamba_z only. (d) All three parameters. (e) None of the parameters.

Explanation / Answer

c) both the wire and the plane

reason:TEM wave doesn't exist in hollow waveguides (single conductor) since Maxwell's Equations will give that the electric field has zero divergence and zero curl and be equal to zero at boundaries, resulting in a zero field so TEM mode is possible to travel along two-conductor transmission line, where both fields are oriented perpendicular to the direction of travel.

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