A transmission line is to be matched

PHYSICS · Multi-part · Fermi University Physics · Electricity, Magnetism & Electromagnetism · Electromagnetic waves and their propagation · Electromagnetic waves and their propagation

Modes, Packets and Media, Ch Transmission lines and electromagnetic waves in matter, plasmas and guides

Problem

75\,\Omega

transmission line is to be matched, at

100\,\mathrm{MHz}

, to a purely resistive antenna load of

300\,\Omega

using a quarter-wave transformer section. The transformer section is filled with the same dielectric as the main line, in which waves travel at

2.0\times10^{8}\,\mathrm{m\,s^{-1}}

. ((a)) Find the characteristic impedance

Z_{\rm t}

the transformer section must have. ((b)) Find the physical length of the transformer section.

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