Engineering, 20.09.2020 09:01 poppy1173
g It is desired to measure the characteristic impedance LaTeX: Z_oZ o and propagation constant LaTeX: \gamma\:=\:\alpha\:+\:j\betaγ = α + j β of a lossy line. To this end, a length LaTeX: ll of the line is short-circuited and its input impedance LaTeX: Z_{sc}Z s c is measured. Then, the segment is open-circuited and its input impedance LaTeX: Z_{oc}Z o c is measured. Find mathematical expressions to extract the two unknown quantities LaTeX: Z_oZ o and LaTeX: \gammaγfrom LaTeX: Z_{sc}Z s c and LaTeX: Z_{oc}Z o c.
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