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311ps4 - ± ² 85 Ω(a Find l the length of the non-quarter...

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PROBLEM SET 4 ECE 311 Autumn Quarter 2011 Assigned: Friday, Oct. 17th Due: Wednesday, Oct. 26th in class Instructor: Joel T. Johnson Use the Smith charts on pages 3-5 if you desire. Please turn in the charts with your solution. Problem 1 Measurements are made at 4 GHz of the magnitude of the current on a Ω lossless transmission line terminated at z =0 in a load impedance . The line contains a non-magnetic (i.e. ) dielectric material with . A plot of the magnitude of the current yields: (a) Find . (b) Find (c) Find Problem 2 A load impedance =25-j85 is to be powered by a 11 V, 1 GHz voltage source with a 85 ohm source impedance. A quarter wave matching network is used as shown to provide an impedance match, i.e. 85 Ω . Assume the non-quarter wave line has 85 Ω . (a) Find
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Unformatted text preview: ± ² 85 Ω . (a) Find l , the length of the non-quarter wavelength line in meters. Assume transmission lines are air filled. (b) Find ±  , the characteristic impedance of the quarter wave line. (c) Find ¾¿ if the frequency is changed to 2 GHz but the length of the lines (in meters) and the source and load impedances remain fixed. Does the network still work? PROBLEM SET 4 Page 2 Autumn Quarter 2011 Problem 3 A single stub matching network is now used instead to provide an impedance match for the same load and source impedances as in problem two as shown. Assume all transmission lines to be used are air filled and have characteristic impedances of 85 ohms. (a) Find ± in meters. (b) Find ² in meters. (c) Calculate the time averaged power dissipated in the load with this network....
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