6. (Prob 2.20 Pozar) Use the Smith chart to find the following quantities for the transmission line circuit shown in the accompanying figure: l = 0.4? Zin Z0 = 50 ?? ZL = 60 + j50 ?? 2nd Homework Electromagnetic Waves Transmission Line Theory - Circuit Model (a) The SWR on the line. (b) The reflection coefficient at the load. (c) The load admittance. (d) The input impedance of the line. (e) The distance from the load to the first voltage minimum. (f) The distance from the load to the first voltage maximum.
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Problem 1: A lossless transmission line has characteristic impedance Zo = 50 Ω and its input impedance is 60 - j70 Ω. The line operates at a wavelength of 0.4 m and is 3.85 m long. Calculate: - The load impedance connected to the line. - The location of the voltage minima and maxima on the line, starting from the load. - The reflection coefficient at the load (magnitude and angle) and the standing wave ratio on the line. - The magnitude of the maximum and minimum voltage and current on the line if the load voltage is 22 - j10 V.
Sri K.
A 50 Ω air-filled transmission line is connected between a 40 GHz source with a Thevenin equivalent impedance of 50 Ω and a load impedance ZL. The SWR on the line is 3.5. (a) What is the magnitude of the reflection coefficient, ΓL, at the load. (b) What is the phase constant, β, of the line? (c) If the first minimum of the standing wave voltage on the transmission line is at a distance 2 mm from the load, determine the electrical distance (in degrees) of the SWR minimum from the load angle of the ΓL at the load. (d) Determine the angle of ΓL at the load. (e) What is ΓL in magnitude-phase form? (f) What is ΓL in complex (rectangular) form? (g) Determine the load impedance, ZL.
Madhur L.
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