ECE166 hwk3-Fall 2009

# ECE166 hwk3-Fall 2009 - 1 ECE 166 – Microwave Circuits...

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Unformatted text preview: 1 ECE 166 – Microwave Circuits and Systems Homework #3– Due Thursday October 29, 2009 Problem 1: Build the following circuits based on a t-line with impedance Zo=50 Ω and ε eff =4.5 (this is for β ). This problem is to show you that you can synthesize any inductor/capacitor you wish using simple transmission lines. Many times, we do not use lumped components at microwave frequencies because t- lines do not resonate and have high Q – within a frequency range!). a) A load inductor with a value of j80 Ω at 12 GHz (specify the length of the shorted t-line in mm and in degrees). What is the equivalent value of L in nH? Plot the reactance and the equivalent value of L at 2-20 GHz? Compare with an ideal inductor (L does not change) and specify the frequency of operation of this implementation. b) A load capacitor with a value of –j40 Ω at 12 GHz (specify the length of the open t-line in mm and in degrees). What is the value of C in pF? Plot the reactance and the equivalent value of C at 2-20 GHz? degrees)....
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