Homework Assume you are given a 2.4 impedance of the line is ZL-75 +/60 Ω. The...
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...
input impedance to a line is Z,-(30-j40 Ω and the load impedance is ZL-(20 +j40 Ω. If the 00 Ω and velocity of propagation 250 mjus and is operated at 30 MHz characteristic resistance Ro-1 u is the minimum length of the line? input impedance to a line is Z,-(30-j40 Ω and the load impedance is ZL-(20 +j40 Ω. If the 00 Ω and velocity of propagation 250 mjus and is operated at 30 MHz characteristic resistance Ro-1 u is...
Consider the transmission line crkt in problem 5. Assume the generator impedance is matched to Zin, and take Vs 2.020° V. a) Find the total voltage at z-/12, V(z--/12) b) Find the wave impedance at z--λ/12, Z(z-N12) c) Find the total current at z--A/12, 1(z-N12) Zg 9 Lin Zo=50Ω ZL = 120Ω 「一 Гіп z--l Consider the transmission line crkt in problem 5. Assume the generator impedance is matched to Zin, and take Vs 2.020° V. a) Find the total...
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...
Please show all your work clearly and write out explanations. I know the solution involves a cotangent equation but I don't know where it comes from. Can you please show a derivation for that equation? thanks Problem 2.29 A 50-MHz generator with Z, 50 2 is connected to a load 2L = (50_/25) Ω The time-average power transferred from the generator into the load is maximum when Zg = , where ZL is the complex this condition without changing Zg,...
A lossless transmission line Z0 = 75 Ω is 10 cm long (f = 800 MHz, vp = 0.77c). If the input impedance is Zin = j60 Ω (a) Find ZL (using the Smith Chart) (b) What length of a short-circuit transmission line would be needed to replace ZL?
Q1. A transmission line has Zo-Z,-150 Ω and ZL-50 Ω. The propagation velocity on the line is 200 m/us and the line is 800 m long. At time t-0, a single voltage pulse of 16 V and 1 us duration is transmitted by the generator. Using relevant equations and diagrams, discuss the voltage and current pulse behavior on the line. Q1. A transmission line has Zo-Z,-150 Ω and ZL-50 Ω. The propagation velocity on the line is 200 m/us and...
1. A coaxial cable of characteristic impedance Zo 75 Q is terminated impedance of Z 25+ j45 0. Using the Smith Chart, find the input impedance of the line for the following frequencies and cable lengths (d), assuming the propagation veloci is 77% of the speed of light: by a load a) f 1 GHz and d50 cm b) f 5 GHz and d 25 cm
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)...
Problem 2.25 A lossless transmission line is terminated in a short circuit. How long (in wavelengths) should the line be in order for it to appear as an open circuit at its input terminals? Problem 2.27 A 75-Ω resistive load is preceded by a λ/4 section of a 50-Q lossless line, which itself is preceded by another λ/4 section ofa 100-Q line. What is the input impedance? Problem 2.31 A generator with 300 V and Znected to a load ZL...