11.56 A 50 2 lossless transmission line that is 20 ml 120 + j220 Ω ossless transmission line that...
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?
Consider a 50 Ω lossless transmission line terminated in a load impedance ?? = (100 − ?50) Ω. Find ?(?) and Γ(?) at a distance ? = 0.1λ.
need a step by step solution, I do not understand much from the Smith Chart A 50-Ω lossless transmission line is terminated in a load of22 275Ω Calculate the reflections caused by the mismatch. Use the Smith Chart to match this transmission line to the load applying the two methods discussed in class to eliminate these reflections. Explain all your steps of the design process and justify your selection of the most efficient solution along the methods and among the...
You have an antenna with an input impedance of Z (140 -j35)2 at f 120 MHz. You would like to match this load to a 70Ω transmission line using a single stub tuner (vp-2.2x108 m/s). Using the Smith chart, determine the distance d away from the load and the length l of a short-circuited parallel stub to accomplish the matching goal at the design frequency. Estimate the reduction in radiated power if the operating frequency is changed to f 125...
[50] You have a load with impedance (10+j10)? at the design frequency, f-100 MHz, that you want to match to a 50? transmission line (v,-3.108m/s). Using Smith charts, construct matching networks using the following elements: (a) a short-circuited parallel stub, (b) an open- circuited parallel stub, (c) a short-circuited series stub, (d) an open-circuited series stub, (e) a quarter-wave transformer. Assume ideal components. Specify the length of each transmission line in meters. ·
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...
a. A 15-m length of 300 Ω lines must be connected to a 3-m length of 150 Ω lines that is terminated in a SO O resistor. Assuming all lines are lossless, find the vswR on the 300 Ω line. In order to match the two sections, a quarter wavelength line of characteristic impedance Zo is added. Find the appropriate zo. Assume a working frequency of 50 MHz a. A 15-m length of 300 Ω lines must be connected to...
a. A 50 air-filled transmission line is working at 3 MHz on a length of 5.21. The line is terminated with a load impedance of ZĽ = 40 + j25 12. Evaluate: i. VSWR using both Smith Chart and equation. Compare both answers. (CO3: P04 - 3 marks) ii. Reflection coefficient at the load using both Smith Chart and equation. Compare both answers. (CO3: P04 - 3 marks) iii. Input impedance and input admittance using the Smith Chart. (CO3: PO4...
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?
A 50 Ω transmission line operates at 160 MHz and is terminated by a load of 50 + j30 Ω. If its wave speed is c/2 and the input impedance is to be made real, calculate the minimum possible length of the line and the corresponding input impedance.