hw12 - ECE 329 Homework 12 Due: Wed, Dec 8, 2010, 5PM 1. A...

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ECE 329 Homework 12 Due: Wed, Dec 8, 2010, 5PM 1. A T.L. with characteristic impedance Z 0 = 50 and length l = 0.2 λ is terminated with a load Z L = 100 . a) Using a Smith Chart, determine (i) the load reflection coefficient Γ L , (ii) the generalized reflection coefficient Γ ( d ) at d = l and (iii) the input impedance Z ( l ) at the generator end. Hand in your marked Smith Chart. Hint : Start by finding the normalized load impedance z L = Z L / Z 0 on the Smith Chart. Express Γ L and Γ ( d ) as complex numbers in polar form i.e., as θ Γ∠ . 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 g = 10 V and Thevenin impedance Z g = 50 . c) Given the result of (b), determine V + such that ( ) ( ) jd L Vd V e e ββ +− =+ Γ . d) What is the load voltage phasor V (0) given the result of (c)? e) What is the corresponding load current I (0)? 2. A lossless T.L. having a characteristic impedance of 50 is terminated by a load of unknown impedance Z L . Measurements of the voltage amplitude along the line reveal a “standing wave
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hw12 - ECE 329 Homework 12 Due: Wed, Dec 8, 2010, 5PM 1. A...

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