Question Derive the input impedance of the transmission line of Z0, length ‘l’ and terminated with Zl.

P0IWMF The Asker · Electrical Engineering

Derive the input impedance of the transmission line of Z0, length ‘l’ and terminated with Zl.

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RHHGT9

{:[Z_("in ")=z" at "(z=-l)],[" Zin "=(v(z=-l))/(I(z-l))],[" here "z_("in ")!=z_(0)],[Z_(0)+-Z_(L)]:}first determine the rottage and current at the beginning of Jransmission line{:[V(z)=V_(0)^(+)[e^(+int beta l)+Gamma_(L)e^(-J beta l)]],[" assume This is lossless TL "],[" so "alpha=0],[gamma=JB quad Z=-l],[I(z)=(V_(0)^(+))/(z_(0))[e^(+J beta l)-r_(L)e^(-J beta l)]],[Z_("in ")=(V(z=-l))/(I(z=-l))],[z_(in)=z_(0)((e^(J beta l)+r_(L)e^(-J beta l))/(e^(j beta l)-r_(L)e^(-J beta L)))]:}here we knowr= sefleetion coeffelient ... See the full answer