329sp09hw12 - ECE 329 Homework 12 Due: Wed, Apr 22, 2009,...

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Unformatted text preview: ECE 329 Homework 12 Due: Wed, Apr 22, 2009, 5PM 1. Two T.L.s with characteristic impedances Z 1 and Z 2 are joined at a junction that also includes a shunt resistance R as shown in the diagram below. R Z 1 Z 2 z v ++ v +- v- Z 1 v ++ /Z 2 v + + v- +- +- Assume that a voltage wave v + ( t- z v p 1 ) from the left produces reflected and transmitted waves v- ( t + z v p 1 ) and v ++ ( t- z v p 2 ) on lines 1 and 2 traveling to the left and right, respectively, on two sides of the junction. Using an abbreviated notation, Kirchhoffs voltage and current laws (KVL and KCL) applied at the junction can be expressed as v + + v- = v ++ and v + Z 1- v- Z 1 = v ++ Z eq , where Z eq RZ 2 R + Z 2 is the parallel combination of R and Z 2 . a) Verify the KVL and KCL equations given above, explaining carefully how they are obtained. b) Solve the KVL and KCL equations above to obtain the reflection and transmission coefficients 12 v- v + and 12 = v ++ v + for the junction....
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This note was uploaded on 09/16/2011 for the course ECE 329 taught by Professor Kim during the Fall '08 term at University of Illinois, Urbana Champaign.

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329sp09hw12 - ECE 329 Homework 12 Due: Wed, Apr 22, 2009,...

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