A 2.5 meter long section of Zo=50 12 lossless coaxial transmission line is connected to a...
Problem 3. A lossless air-filled transmission line with Zo = 500 is terminated in a load with Z. = (100 +j25) 22. Determine the reflection coefficient, VSWR, and the input impedance 0.122 away from the load.
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.
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...
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.
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.
2. (40 point total) A lossless, air dielectric transmission line is 0.75 meters long and has a characteristic impedance of 50 ohms. The line operates at a frequency of 300 MHz and is terminated in a load impedance Z1-50+j10 ohms. (a) (10 pts) Sketch and label a circuit diagram showing the transmission line, load impedance and indicating the input impedance, Zin, to the terminated line section. Include relevant information given above in this sketch. (b) (10 pts) Find the complex...
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...
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...
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)...
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...