2.19 The characteristic impedance of a coax cable is 50 22 and assumed lossless. If the...
2.19 The Characteristic impedance of a coax cable is 50 ohms and assumed lossless. If the load is a short circuit, find the input impedance if the cable is 2 wavelenghts, 0.75 wavelenght, and 0.5 wavelenght in lenght.
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)...
3.15-3 A lossless coaxial cable having characteristic impedance 50 is terminated bya load with impedance 25+525 12. (a) What is the voltage reflection coefficient at the load? (b) Plot the input impedance for transmission line lengths from 0 to 0.15A Please plot as a single curve in the complex plane, with the horizontal axis as the real component and the vertical axis as the imaginary component. Indicate at each end of the curve the associated lengths. (c) For what lengths...
Question 3. (25 points) If a coaxial cable has characteristic impedance orzo-50 Ω, it is used to transfer microwave power at frequency of 10 GHz, and is short-circuited at the end, find the positions over the cable at which the input impedance of the transmission line is 0 (short-circuit) and oo (open-circuit). What is the input impedance at a distance of 3/8 and comment if it is inductive or capacitive?
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...
The input impedance of a 31 - cm - long lossless transmission line of unknown characteristic impedance was measured at 1 MHz. With the line terminated in a short circuit, the measurement yielded an input impedance equivalent to an inductor with inductance of 0.064uH, and when the line was open-circuited, the measurement yielded an input impedance equivalent to a capacitor with capacitance of 40uH. Find Zo of the line, the phase velocity, and the relative permittivity of the insulating material.
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...
Plot using matlab and provide source code in text 3.15-3 A lossless coaxial cable having characteristic impedance 50 Ω is terminated by a load with impedance 25 +j25 Ω (a) What is the voltage reflection coefficient at the load? (b) Plot the input impedance for transmission line lengths from 0 to 0.45λ. Please plot as a single curve in the complex plane, with the horizontal axis as the real component and the vertical axis as the imaginary component. Indicate at...
A lossless transmission line with 50 Ω characteristic impedance has a 50 V step function placed on it, generated from a source impedance of 10 Ω. Assume the velocity of the signal on the line is 106 m/s, the line is 100 m long, and is terminated in a load impedance of 100 Ω. (a) What is the source voltage? (4 marks) (b) How long does the step function take to reach the termination load impedance? (2 marks) (c) What...
32 1. There are three transmission line and one 4 transmission line (all characteristic impedance of transmission line is v2zo and assume lossless line) and there are two loads of load impedance Zo 214 iz Zi=?> 2/4 A/4 short 32/4 (a) Find the input impedance (Zn) (b) If the input power is 1 watt, find the transmitted power to each load Zo 32 1. There are three transmission line and one 4 transmission line (all characteristic impedance of transmission line...