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 l...
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 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.
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.
1) A transmission line with z, = 120o is terminated with a load Z. = 120 If the line is /4 long, find (a) The reflection coefficient T (b) The standing wave ratio VSWR. (c) The input impedance Zm 120X2. 2S points) 14 1) A transmission line with z, = 120o is terminated with a load Z. = 120 If the line is /4 long, find (a) The reflection coefficient T (b) The standing wave ratio VSWR. (c) The input...
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, A lossless transmission line of length 1 = 1.57λ and characteristic 17 +j60Ω. impedance Z, = 50Ω is loaded with an impedance of ZL Compute the following: (a) Reflection coefficient at the load in both rectangular and polar form. (b) SWR, and RL (c) Input impedance at the generator. (d) Reflection coefficient at the input to the transmission line in both rectangular and polar form
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....
2. Lumped versus distributed circuits (15%) (a) A transmission line of length 1 connects a load to a sinusoidal voltage source with an oscillation frequency of f. Assuming that the velocity of wave propagation in the line is c (that is, the speed of light in vacuum), for which of the following sit- uations can we model the transmission line as a wire (that is, use a lumped-element model) and where do we need a distributed model? (i) f =...
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...