32 1. There are three transmission line and one 4 transmission line (all characteristic impedance of transmission l...
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.
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.
A lassless transmission line with characteristic impedance Zo - 50 R and length l = 0.42 is terminated into a load Z2 = 100+j401 (a) At what distance from the load is the input impedance real? (4 points) (b) If a quarter-wave transformer is to be used to match the load to the transmission line, what will be its characteristic impedance ? (4 points)
For a lossless transmission line extending from 1 = -1 to 1 = 0) with characteristic impedance Zo, and terminated with a load impedance, ZL, find the ratio of the backward to forward voltage wave amplitude, V /V+.
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)...
Q1. (20pts) Consider a lossless transmission line with characteristic impedance Zo=50 Q is used to connect a sinusoidal source with internal resistance Rs=50 2, and 10 Volts peak value to feed a load of ZL=300 Q. At an operating signal wavelength of do, the length of the transmission line is L=2.25o. Determine the followings: a) Standing wave ratio on the line b) Average power delivered to the load in dBm. c) The voltage and current phasor expressions on the transmission...
A lossless transmission line with characteristic impedance of 75Ω measures 1.4λ at a certain working frequency. The line is powered by a generator with negligible impedance and an open circuit voltage of Vg=10∠0° [V]. A load of 50-i50Ω is connected at the end of the line. Find a) The reflection coefficient. b)The stationary wave ratio. c)The input impedance of the line. d)The voltage at the entrance of the line. e)The voltage at the load. f)The average power delivered to the...
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
6. Design two single-stub matching networks as shown below. Transform the load impedance Z (60 j45) Ω to match an input impedance of Z,-(75+j90)Ω. Assume that both the stub and the transmission line shown below have a characteristic impedance of Zo-50 Ω. Zot I ZoL.l ZL lm in Open or -) : short circuit , open or short circuit
6. Design two single-stub matching networks as shown below. Transform the load impedance Z (60 j45) Ω to match an input...
This is lossless circuit.
(a)Find the input impedance of this circuit
(b) If 1W power is delivered, what are the power transmitted
each loads?
2/4 Zo in A/4 A/4 short 3A/4 2Z
2/4 Zo in A/4 A/4 short 3A/4 2Z