ECE 329Homework 13Due: Tue, April 22, 2008, 5PMThe following is a set of relatively simple S.C. exercises appropriate for an “exam week”. The following weekwe will have some more challenging T.L. and S.C. problems to work out.1. A T.L. with characteristic impedanceZo= 50Ωand lengthl= 0.2λis terminated with a loadZL= 100Ω.a) Using a S.C., determine (i) the load reflection coefficientΓL, (ii) the generalized reflection co-efficientΓ(d)atd=l, and (iii) the input impedanceZ(l)at the generator end. Hand in yourS.C.b) UsingZ(l)from part (a), determine the voltage phasorV(l)at the generator end if the generatorhas an open circuit voltage phasorVT= 10V and a Thevenin impedanceZT= 50Ω.c) Given the result of (b), determineV+such thatV(d) =V+(ejβd+ΓLe-jβd).d) What is the load voltage phasorV(0)given the result of (c)?e) What is the corresponding load currentI(0)?2. Repeat problem 1 ifZL= 50Ω. — Note: in this “trivial” problem where the load is matched to theload you hardly need to use a S.C.. Nevertheless, in order to appreciate the simplifications of having
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Electrical impedance, S.C., characteristic impedance Zo