A short-circuited stub is to be cut from coaxial cable in which waves travel at

PHYSICS · Subjective · 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

A short-circuited stub is to be cut from 50 Ω50\,\Omega coaxial cable in which waves travel at 2.0×108 m s−12.0\times10^{8}\,\mathrm{m\,s^{-1}}. At 200 MHz200\,\mathrm{MHz} it must present a purely inductive reactance of +i 75 Ω+i\,75\,\Omega at its input. Find the shortest length of stub that does this.

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