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 is the amplitude of the reflected pulse at the load
termination?(6 marks)
A lossless transmission line with 50 Ω characteristic impedance has a 50 V step function placed...
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)...
Consider a 50 Ω lossless transmission line terminated in a load impedance ?? = (100 − ?50) Ω. Find ?(?) and Γ(?) at a distance ? = 0.1λ.
Electromagnetism: A transmission line has a characteristic impedance Z0 = 50 Ω and attenuation 3 dB/100m (α = 0.345 Np/100m). Assume that the velocity factor is 1.0 (i.e. the propagation speed along the line is equal to the speed of light). The line is 500 m long and a load resistance, RL = 50 Ω is connected to one end of the line. A sinusoidal voltage source is connected to the line at the other end, with a peak voltage...
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...
A lossless transmission line is used to deliver an AC signal from Liverpool to Wirral. The length of the transmission line is 6 km. The phase velocity is the same as in free space. The transmission line is terminated by a load at the Wirral side with an impedance of 100 Ω. j) If the characteristic impedance of the transmission line is 100 Ω and the AC b) signal has a frequency of 50 Hz, what is the input impedance...
For a lossless transmission line extending from 1 = -1 to 1 = 0) with characteristic impedance Zo, and terminated with a load impedance, ZL, find the ratio of the backward to forward voltage wave amplitude, V /V+.
4. A 120- lossless transmission line is terminated in an impedance of-j 60. If the amplitude of the incident-wave voltage at the load is 100 V, calculate the amplitude of the total voltage at the load. Also determine the distance from the load to the first voltage minimum and the amplitude of the ac voltage at this minimum
USE QUARTER-WAVE METHOD 11.56 A 50 2 lossless transmission line that is 20 ml 120 + j220 Ω ossless transmission line that is 20 m long is terminated into a load. To perfectly match, what should be the length and location of a short-circuited stub line? Assume an operating frequency of 10 MHz. am 11.56 A 50 2 lossless transmission line that is 20 ml 120 + j220 Ω ossless transmission line that is 20 m long is terminated into...
A 6 m section of a lossless transmission line has a distributed capacitance C = 33.33 pF/m and a distributed inductance L = 0.75 μH/m. The transmission line is driven by a generator operating at 40 MHz, with a voltage Vg = 4.33 - 2.5j V and a source impedance Zg = 150 Ω. The line is terminated by a load ZL= 150 – j50 Ω. Calculate the current drawn from the source.
A 2.5 meter long section of Zo=50 12 lossless coaxial transmission line is connected to a source with vg(t) = 10 sin(611 10't + 60°) (V) and Zg=150 12. If the line, which uses insulating material with a relative permittivity of &r=4, is terminated in a load ZŁ=(100 – j 50) (2, determine: (a) Wavelength a on the line. (b) The reflection coefficient I at the load. (c) The input impedance at the source. (d) The voltage phasor V; at...