# hw02 - ECE 488 RF Circuits and Systems HOMEWORK 2 L-Nets...

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ECE 488: RF Circuits and Systems Spring 2009 HOMEWORK 2: L-Nets, Amplifiers, and Filters Reference: Lectures 2-6; Chapters 2-4 Due: February 4 Problem 1: Short answers: [5 points] a. What is implied when Zang = 0 in the ladder pro- gram? b. Spell out and define the following abbreviations: (1) GHz (2) THz (3) MHz (4) pF c. What are the units of reactance and of suscep- tance and how are they related? d. When a quantity is given in “dB”, what does it mean? e. What does an ideal “choke” do in the context of RF circuits? Problem 2. Here you will match a 50-Ω source to a 500-Ω load at 1 GHz using 4 different L-networks. In each case, place the inductor in the parallel (shunt) position, listing the values of the components with your calculations. [22 points] a. Use one lossless capacitor and one lossless induc- tor to design a perfect impedance match. b. Replace the lossless inductor of part (a) with a lossy inductor that can can be modeled with a series resistance of R S = 10 Ω. Remember that the inductor must be in the parallel position and that there is a relationship between the parallel (in terms of R p and L p ) and series (in terms of R s and L s ) models of lossy inductors. Clearly state and assumptions you make because there are a couple of reasonable approaches possible here. c. Use two lossless inductors and two lossless capac- itors configured to give a narrow frequency response with R = 10 Ω. d. Use two lossless inductors and two lossless capacitors configured to give the widest frequency response. e. Plot the frequency responses from all 4 of the above designs on the same axis. I have uploaded another version of the ladder program under the Handouts section of

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