1. A coaxial cable of characteristic impedance Zo 75 Q is terminated impedance of Z 25+...
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...
A 75 coaxial transmission line has a length of 2.0 cm and is terminated with a load impedance of 37.575 If the relative permittivity of the line is 2.56 and the frequency is 3.0 GHz, find the input impedance to the line, the reflection coefficient at the load, the reflection coefficient at the input, and the SWR on the line.
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 75-ohm coaxial line has a length of 2.0cm and is terminated with a load impedance of 37.5 + j37.5 ?. If the dielectric constant of the line is 2.56 and the frequency is 3.0GHz, calculate the following by hand a) the reflection coefficient at the load b) the SWR on the line c) the reflection coefficient at the coaxial line input d) the input impedance to the coaxial line e) the input admittance to the coaxial line
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...
In the schematic shown below Zo = 75 Ω and ZL = 25 – j15 Ω at the frequency of 3 GHz (which is also the frequency of the Source signal). Using the Smith Chart, perform the following: i. Calculate the normalized value of Load impedance ZL’ and mark it on the Chart. ii. Estimate the magnitude of the reflection coefficient at the Load using the Chart. iii. Sketch the Constant-circle corresponding to the point from the above step |ΓL|and...
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 50 ohm lossless coaxial cable ( Er=4) is connected to a 100 ohm antenna operated at 5 GHz. If the cable length is 40 cm, find the input impedance by using the ZY Smith Chart.
(f) A long coaxial cable with a characteristic impedance of 75 Ω is connected to a second long cable with an impedance of 50 Ω. Assuming a single short pulse of amplitude 10 V is injected into the first cable, calculate the amplitude of the pulse that is reflected from the boundary What is the amplitude of the transmitted pulse? 12] 12] (h) In the Fourier expansion f(t)- + al cos(ωt) + bi sin(ωt) + a2 cos(20t) + b2 sin(20t)...
6. Design two single-stub matching networks as shown below. Transform the load impedance Z (60 j45) Ω to match an input impedance of Z,-(75+j90)Ω. Assume that both the stub and the transmission line shown below have a characteristic impedance of Zo-50 Ω. Zot I ZoL.l ZL lm in Open or -) : short circuit , open or short circuit 6. Design two single-stub matching networks as shown below. Transform the load impedance Z (60 j45) Ω to match an input...