Given a 50 Ω lossless transmission line, find the length of the line so the input impedance at 3 GHz appears as a capacitor equal to 10 pF. Wave velocity on the line is 0.8c. (only one solution is necessary).
Given a 50 Ω lossless transmission line, find the length of the line so the input...
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)...
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 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...
Consider a 50 Ω lossless transmission line terminated in a load impedance ?? = (100 − ?50) Ω. Find ?(?) and Γ(?) at a distance ? = 0.1λ.
At a nominal operating frequency of 5 GHz, a 50 Ω lossless coaxial line with insulating material with relative permittivity Er-2.2 İs terminated in an antenna with a load impedance of RL-25 Ω in series with a C-pF capacitor. The line length is 30cm. (a) Use a Smith chart to find Zin (b) Now suppose that we need the antenna to operate over a narrow band of +3MHz about the nominal operating frequency of 5GHz. i. Plot ігі as a...
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...
10.198 A lossless transmission line is 50 cm in length and operates at a frequency of 100 MHz. The line parameters are L-0.2 μ H/m and C = 80 pF/m. The line is terminated in a short circuit at z 0, and there is a load ZL = 50 + j 20 Ω across the line at location z--20 cm. What average power is delivered to ZL if the input voltage is 10020 V?
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?
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.
2.2 A lossless transmission line of length 0.3A is terminated with a load impedance as shown below. Find the reflection cocfficient at the load, the SWR on the line, the return loss, and the input impedance to the linc. に0.3A ス14-40+/20 Ω