329fall08hw14 - ECE 329 1 Homework 14 Due Wed 5PM b What is...

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ECE 329 Homework 14 Due: Wed, Dec 10, 2008, 5PM 1. a) A student desires to construct a parallel- LC circuit that resonates (i.e., exhibits zero equivalent admittance and behaves as a combined “open”) at 200 MHz, but she has no inductors. Therefore, she selects a 100 pF ±xed capacitor and a 1–10 pF variable capacitor and cuts a ¼ wavelength section of 50-ohm coaxial transmission line at 200 MHz. Find the value of variable capacitance required that when transformed through the quarter wave line will resonate with the 100 pF ±xed cap at 200 MHz. Hint: remember that resonance frequency (in rad/s) ω o = 1 LC for the LC -ckt. 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 200 MHz? Brie²y discuss your answer. 2. A transmission line having a characteristic impedance of 50 Ω is terminated by a load of unknown impedance Z R . Measurements of voltage amplitude
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329fall08hw14 - ECE 329 1 Homework 14 Due Wed 5PM b What is...

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