Problem 1. Express the phasor domain and time-domain voltage equations for a transmission line terminated in...
f) the current wave inside the transmission line represented
in the time domain
Problem 1: A certain transmission line operating at w = 10 rad/s has a = 6 dB/m, B = 2 rad/m, and Zo = 75 92, and is 2 m long. If the line is connected to a source of 10L 0° V, Zs -40 92 and terminated by a load of 30+ j40 92, determine: (a) the input impedance, Zin (b) the sending-end current, Ion (c)...
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...
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)...
3-8. A lossless transmission line is terminated in an open circuit. The sending end is ener gized by a generator which has an open-circuit output voltage of V, (rms) and an inter- val impedance equal to the characteristic impedance of the line. Show that the sending- end voltage is equal to the output voltage of the generator.
3-8. A lossless transmission line is terminated in an open circuit. The sending end is ener gized by a generator which has an...
Question 3-100 Marks Time Domain Reflectometry A transmission line is created from spare equipment at hand but has mis-matched impedances. The equivalent circuit is shown in the diagram following. It has source of internal resistance, Zi, is driving a load, z, via a length, d, of lossless 75Ω coaxial cable, Zo. The source voltage is initially zero and the line is initially uncharged, with NEr 2.8 Z1 Vi 7o ZL 0 coaxial cable Table 3: Values for Calculations Last Student...
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 5042 lossless transmission line is terminated in a load of 12tj4 Ω. 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 design process and justify your selection of the most efficient solution along the methods and among the two methods. Proof that the reflections are eliminated with your design. your steps of the RUBRIC EVALUATION VALUE...
A 50-Ohm lossless air-spaced transmission line is terminated in a load. The voltage standing wave pattern on the line is measured and the resulting curve is presented in the figure. V[V] -1 -0.8 -0.6 -0.4 -0.2 0 - [m] (a) Determine the signal frequency. (b) Find the percentage of the incident power that is delivered to the load.
9.45
In a laboratory experiment conducted on a 50-(2) lossless transmission line terminated in an unknown load impedance, it is found that the standing-wave ratio is 2.0. The successive voltage minima are 25 (cm) apart, and the first minimum occurs at 5 (cm) from the load. Find (a) the load impedance, and (b) the reflection coefficient of the load, (c) Where would the first voltage minimum be located if the load were replaced by a short-circuit?
7. Two measurements on a lossless transmission line of characteristic impedance 2-R-5003 length 1= λ / 2 are IIN ●1(ss/)s 2(amps) and VlaV(s.0). 100( volts) (a) Find the phasor voltage V(s) and the phasor current I(s) on the line "sfunctions of s/ λ、whm s is the distance from the load and λ is the wavelength. (b) Find the time average power P on the line Hint: Recall that e- LT
7. Two measurements on a lossless transmission line of characteristic...