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329sp08hw13 - ECE 329 Homework 13 Due Tue 5PM The following...

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ECE 329 Homework 13 Due: Tue, April 22, 2008, 5PM The following is a set of relatively simple S.C. exercises appropriate for an “exam week”. The following week we will have some more challenging T.L. and S.C. problems to work out. 1. A T.L. with characteristic impedance Z o = 50 Ω and length l = 0 . 2 λ is terminated with a load Z L = 100 Ω . a) Using a S.C., determine (i) the load reflection coe ffi cient Γ L , (ii) the generalized reflection co- e ffi cient Γ ( d ) at d = l , and (iii) the input impedance Z ( l ) at the generator end. Hand in your S.C. b) Using Z ( l ) from part (a), determine the voltage phasor V ( l ) at the generator end if the generator has an open circuit voltage phasor V T = 10 V and a Thevenin impedance Z T = 50 Ω . c) Given the result of (b), determine V + such that V ( d ) = V + ( e j β d + Γ L e - j β d ) . d) What is the load voltage phasor V (0) given the result of (c)? e) What is the corresponding load current I (0) ? 2. Repeat problem 1 if Z L = 50 Ω . — Note: in this “trivial” problem where the load is matched to the load you hardly need to use a S.C.. Nevertheless, in order to appreciate the simplifications of having
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