Problem 2: (10 points) Current standing wave on a transmission line with a characteristic impedance of...
A transmission line with characteristic impedance of 100 ? is connected to a 200+j400 ? load. Use Smith chart to calculate (i) standing wave ratio (ii) reflection coefficient (iii) lengths and locations of a short circuited shunt stub to match the load to the transmission line.
A lossless transmission line with characteristic impedance of 75Ω measures 1.4λ at a certain working frequency. The line is powered by a generator with negligible impedance and an open circuit voltage of Vg=10∠0° [V]. A load of 50-i50Ω is connected at the end of the line. Find a) The reflection coefficient. b)The stationary wave ratio. c)The input impedance of the line. d)The voltage at the entrance of the line. e)The voltage at the load. f)The average power delivered to the...
Question 4 (a) The input impedance of a lossless air-core transmission line with characteristic impedance Ro. phase constant B and length I terminated in an impedance Z, is given by R,+Z, tan( i. Determine the length of an open circuit 50Ω line required to create a 0.1 nH inductor at a frequency of 10 GHz. (6 marks) ii. Determine the input impedance of the line in part () if the open circuit is changed to a short circuit. (3 marks)...
A long line with characteristic impedance Zo = 100 operates at 1GHz. The speed of propagation on the line is c [m/s] and the load impedance is 260 + j180 N. Find: (a) The reflection coefficient at the load. (b) The reflection coefficient at a distance of 20 m from the load toward the generator (c) Standing wave ratio (d) Input impedance at 20 m from the load (e) Location of the first voltage maximum and first voltage minimum from...
Problem 2: A 345 kV, 60 Hz, three-phase characteristic parameters of the transmission line are: transmission line is 130 km long. The r= 0.036 ?/km L = 0.8 x 10-3 H/km C = 0.0112 x 10-6 F/km The receiving end load is 270 MVA with 0.8 PF lagging at 325 kV. (k) What is the total series impedance of this transmission line? (5 points) () What is the total shunt admittance of this transmission line? (5 points) (m) Calculate the...
Show all work Problem 1 (30%). For a voltage along the line is as in the following plot. The line is terminated to an unknown load i Zi at z- 0 cm. Calculate the following quantities. transmission line with a characteristic impedance of 50 Ω the magnitude of the mpedance (a) Wavelength and wavenumber. (b) Standing-wave ratio. (c) Magnitude and phase of the reflection coefficient. (d) Load impedance. (e) The equivalent circuit element for the load impedance, assuming that the...
1) A transmission line with z, = 120o is terminated with a load Z. = 120 If the line is /4 long, find (a) The reflection coefficient T (b) The standing wave ratio VSWR. (c) The input impedance Zm 120X2. 2S points) 14 1) A transmission line with z, = 120o is terminated with a load Z. = 120 If the line is /4 long, find (a) The reflection coefficient T (b) The standing wave ratio VSWR. (c) The input...
3, A lossless transmission line of length 1 = 1.57λ and characteristic 17 +j60Ω. impedance Z, = 50Ω is loaded with an impedance of ZL Compute the following: (a) Reflection coefficient at the load in both rectangular and polar form. (b) SWR, and RL (c) Input impedance at the generator. (d) Reflection coefficient at the input to the transmission line in both rectangular and polar form
A lassless transmission line with characteristic impedance Zo - 50 R and length l = 0.42 is terminated into a load Z2 = 100+j401 (a) At what distance from the load is the input impedance real? (4 points) (b) If a quarter-wave transformer is to be used to match the load to the transmission line, what will be its characteristic impedance ? (4 points)
Q1. (20pts) Consider a lossless transmission line with characteristic impedance Zo=50 Q is used to connect a sinusoidal source with internal resistance Rs=50 2, and 10 Volts peak value to feed a load of ZL=300 Q. At an operating signal wavelength of do, the length of the transmission line is L=2.25o. Determine the followings: a) Standing wave ratio on the line b) Average power delivered to the load in dBm. c) The voltage and current phasor expressions on the transmission...