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GATE ECE 2002 | Question: 20

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Transmission line transformation of a load $Z_{L}$ to $Z$ is given by

\[Z=Z_{0} \frac{Z_{1}+j Z_{0} \tan (\beta l)}{Z_{0}+j Z_{\mathrm{L}} \tan (\beta l)}\]

  1. Show that the above transformation implies that the impedance $Z$ gets transformed to $Z_{L}^{*}$ for real $Z$.
  2. What is the importance of the result derived in (a) ?

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