329sp08hw14 - ECE 329 1 Homework 14 Due Wed 5PM a A student...

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ECE 329 Homework 14 Due: Wed, April 30, 2008, 5PM 1. a) A student desires to construct a parallel resonant circuit (with zero admittance) at 200 MHz but has no inductors. Therefore, the student selects a 100 pF fixed capacitor and a 1–10 pF variable capacitor and a ¼ wavelength section of 50-ohm coaxial transmission line. Find the value of variable capacitance required that when transformed through the quarter wave line will resonate with the 100 pF fixed cap at 200 MHz. b) What is the physical length l (in m) of the ¼ wavelength section T.L. used in part (a), assuming that v p = 2 3 c for the line. c) Does the circuit built in part (a) resonate at frequencies other than 200MHz? Discuss your answer, including (i) what it means for the circuit to resonate, and (ii) an outline of how the additional resonance frequencies (if any) could be determined. 2. A transmission line having a characteristic impedance of 50 Ω is terminated by a load of unknown impedance Z R . Measurements of | V ( d ) |
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