A TEM wave propagates along a lossless transmission line with a homogeneous elec

Question

A TEM wave propagates along a lossless transmission line with a homogeneous electric. The distribution of the electric field vector, E, in a cross section of the line, namely, the dependence of E on transverse coordinates (a) is as in electrostatics and E does not depend on the longitudinal coordinate. (b) is as in electrostatics and E is depends on the longitudinal coordinate. (c) is not as in electrostatics and E is independent on the longitudinal coordinate. (d) is not as in electrostatics and E depends on the longitudinal coordinate. Consider a lossless coaxial cable with a homogeneous linear dielectric, of relative permittivity element_r (element_r > 1), and the following four changes to it:(a) removing the inner conductor of the cable, (b) removing the outer conductor of the cable, (c) inserting a thin cylindrical middle conductor coaxially with other conductors, and (d) removing the dielectric of the cable. How many of these changes, occurring separately, would prevent any TEM wave to propagate along the structure? (a) None. (b) One. (c) Two. (d) Three. (e) All.

Explanation / Answer

b) is as in electrostatic,but E depends on the longitudinal coordinate

c) two

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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