ossless transmission line is terminated with a short circuit at the far end as shown in the figure below. Calculate the input impedance Zin a) at dc; 2) A l b) when the line is # long; when the l...
A lossless transmission line is terminated with a short circuit at the far end as shown in the figure below. Calculate the input impedance Zin a) at dc; b) when the line islong; c) when the line is long; d) when the line is2 long. e) Based on the previous results, plot the imaginary part of the input impedance as a function of 8 the electrical length of the line. 0 points) 2 7 Zo Zin
A lossless transmission line of electrical length l = 0.35λ is terminated in a load impedance as shown in the following figure, where ZL = 60Ω, and Z0 = 100Ω. Find: a) Relfection coefficient Γ, b) Standing wave ratio S (or VSWR), c) Input impedance Zin.
A DC voltage Vs is applied to a lossless transmission line of length L, with characteristic impedance Zo and propagation velocity Up. The line is terminated in a short circuit. Draw the "bounce diagram" for the voltage along the line as a function of time for the following cases: a) Rs = 1/3Zo b) Rs = 3Zo c) Rs= Zo Where Rs is the source impedance. For the case Rs= Zo plot the voltages at both ends of the line...
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.
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...
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.
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)...
2 Tutorial (TL)teu 2 For a terminated transmission line consider that: Frequency 1 GHz, Phase velocity v 1.7x108 m/s, Physical line length L-11.9cm, Z- 100 92, Load impedance Determine: (a) the line length as a fraction of a wavelength (or otherwise called electrical length of the line), (b) the voltage reflection coefficient at the load and at the input to the line, (c) the input impedance to the line 2 Tutorial (TL)teu 2 For a terminated transmission line consider that:...
1) A lossless transmission line that is 3N2 long with an impedance of 75Ω terminated by a load of 25 Ω The generator has a voltage of V,r-2sin(et) V and an internal impedance Ζ'50Ω (a) For this circuit give Vg, T, and the voltage standing wave ratio. (b) Give Vin. Inand Vo (c) Give and I (d) Give the voltage and current at the midpoint of the line (ie. P(z) and I(2) at z-3/4). (e) From the answer of (d)...
answer number 3 and 4 Problem 7. Transmission Lines The figure below shows a transmission line with a characteristic impedance Z,-50 Ω, connected to a single frequency generator with an internal impedance R,-50 C (not shown), and terminated in a purely resistive load RL 50 2. At the frequency of the generator, the wavelength of the transmission line is λ = 2 m. At a distance dl-1.25 m away from the load, a shorted stub is connected via a tee....