Unformatted text preview: 1 ECE 166 – Microwave Circuits and Systems Homework #3– Due Thursday October 28, 2010 Problem 1: Build the following circuits based on a t-line with impedance Zo=50 and eff =5 (this is for and getting the lengths of the components). 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 +j100 at 10 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 4-20 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 –j80 at 10 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 4-20 GHz? degrees)....
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- Fall '10
- Impedance, Inductor, Transmission line, Impedance matching, Smith chart