Question 3. (25 points) If a coaxial cable has characteristic impedance orzo-50 Ω, it is used...
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
A coaxial cable 2 x 10% m/s) having a characteristic impedance of 100 Ω is driven at a frequency of 4 MHz and is 5 m in length. The line is ter- minated in a load of ŽL-: (150-j50) Ω and the source is Vs 10/0 V with Zs - 25 2. Determine the input and output voltages to the line using (a) the transmission-line model and (b) the approximate, lumped-pi model. [Exact: V(0) 7.954/-6578 , V(y) 10.25/-33.6 ; approxi-...
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 transmission line has an unknown characteristic impedance of Zo. The length L of the transmission line is also unknown. When the transmission line is short circuited (Zi - 0) at one end, the measured input impedance at the other end is Zv Zsc. When the transmission line is open circuited (Zi- oo) at one end, the measured input impedance at the other end is ZiNZoc Find the characteristic impedance Zo of the transmission line.
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...
h 2.1 m has characteristic impedance of 80+ jill When the line is short-circuited the input impedance is 30-j12Ω (a) Determine α and 40 +j30 Ω 1123 A lossy transmission line of lengt B. (b) Find the input impedance when the short circuit is replaced by Z 40 0 h 2.1 m has characteristic impedance of 80+ jill When the line is short-circuited the input impedance is 30-j12Ω (a) Determine α and 40 +j30 Ω 1123 A lossy transmission line...
(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...
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...
b) A lossy transmission line of length 2.1 m has a characteristic impedance of (80 + 160). When the line is short circuited, the input impedance is (30 - j12). (1) Determine the phase constant. (i) Find the input impedance when the short circuit is replaced by Z = (40 + 130) [3 marks]