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EE 3601: Transmission Lines Assignment #3 Randall Victora February 4, 2009 All papers are due at the beginning of class on February 11, 2009. 1. A lossless transmission line of length 0.101λ and characteristic impedance 50 Ω is connected to a load characterized by an impedance of 15-5j Ω. Use a Smith chart to find the standing wave ratio, the voltage reflection coefficient, the input impedance, and the location of the voltage minimum on the line. (3 points) 2. For a lossless transmission line, determine the line’s characteristic impedance so that it will have a minimum possible standing-wave ratio for load impedance 4+3j Ω. Find the minimum standing-wave ratio and the corresponding voltage reflection coefficient. Also find the location of the voltage minimum nearest to the load. (Hint: Correct characteristic impedance is an integer between 1 and 10. Trial and error is allowed.) (3 points) 3. A transmission line of characteristic impedance 50 Ω is to be matched to a load impedance 40+10j Ω through a length l’ of another transmission line of characteristic impedance R’. Find the required l’ (in terms of λ) and R’ for matching. (2 points) 4. Problem 2.40 from Ulaby. (2 points)