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Electromagnetics: At f= 500 MHz, a section of short circuit, lossless transmission line of Zo = 50Ω is used to implement a capacitor of C = 0.6 A) Determine the shortest length of the section. B) Det...
A lossless transmission line Z0 = 75 Ω is 10 cm long (f = 800 MHz,...
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 lossless transmission line is terminated with a short circuit at the far end as shown...
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
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....
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...
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...
Problem 2 A transmission line configuration, shown below, is use in a communications system to divide...
Problem 2 A transmission line configuration, shown below, is use in a communications system to divide power. The frequency is 100 MHz and all transmission lines are considered ideal and lossless. The values of 2,2 = 225Ω, 2, = 50Ω, Zo,3 = 50Ω, and L3 = 0.75 meters. (a) Determine the shortest line lengths for Li and L2 and their corresponding charac- teristic impedances Z2, Z1 to give equal power (Zi into the two loads (eg into Z2, and Z)...
A DC voltage Vs is applied to a lossless transmission line of length L, with characteristic...
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...
Problem 2.25 A lossless transmission line is terminated in a short circuit. How long (in wavelengths)...
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 2.5 meter long section of Zo=50 12 lossless coaxial transmission line is connected to a...
A 2.5 meter long section of Zo=50 12 lossless coaxial transmission line is connected to a source with vg(t) = 10 sin(611 10't + 60°) (V) and Zg=150 12. If the line, which uses insulating material with a relative permittivity of &r=4, is terminated in a load ZŁ=(100 – j 50) (2, determine: (a) Wavelength a on the line. (b) The reflection coefficient I at the load. (c) The input impedance at the source. (d) The voltage phasor V; at...
kV/phase, 60 Hz, lossless short transmission line has a short-circuit power of 500 MVA/phase. Consider 7. A a unity power factor load connected at the receiving end. Assume that the sending end volta...
kV/phase, 60 Hz, lossless short transmission line has a short-circuit power of 500 MVA/phase. Consider 7. A a unity power factor load connected at the receiving end. Assume that the sending end voltage is equal to the nominal voltage. a. Determine the maximum active power this line can transmit (5 points) b. Determine the reactance of the line (5 points) c. Using basic equations of circuit analysis, show that the magnitude of the receiving end voltage (VR) is approximately 71%...
1) You have a transmission line with Zo = 500 that you wish to match to...
1) You have a transmission line with Zo = 500 that you wish to match to a (100-j150) load. The phase velocity on the line is 2.0x108 m/s and the frequency of operation is 91.9MHz (KSDB-FM). Use the Smith chart to find: a. The shortest distance from the load that you can insert a quarter wave transformer to match the line to the load. b. The characteristic impedance and length of the quarter wave transformer from part a. C. The...
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
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...
Problem 2 A transmission line configuration, shown below, is use in a communications system to divide power. The frequency is 100 MHz and all transmission lines are considered ideal and lossless. The values of 2,2 = 225Ω, 2, = 50Ω, Zo,3 = 50Ω, and L3 = 0.75 meters. (a) Determine the shortest line lengths for Li and L2 and their corresponding charac- teristic impedances Z2, Z1 to give equal power (Zi into the two loads (eg into Z2, and Z)...
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 2.5 meter long section of Zo=50 12 lossless coaxial transmission line is connected to a source with vg(t) = 10 sin(611 10't + 60°) (V) and Zg=150 12. If the line, which uses insulating material with a relative permittivity of &r=4, is terminated in a load ZŁ=(100 – j 50) (2, determine: (a) Wavelength a on the line. (b) The reflection coefficient I at the load. (c) The input impedance at the source. (d) The voltage phasor V; at...
kV/phase, 60 Hz, lossless short transmission line has a short-circuit power of 500 MVA/phase. Consider 7. A a unity power factor load connected at the receiving end. Assume that the sending end voltage is equal to the nominal voltage. a. Determine the maximum active power this line can transmit (5 points) b. Determine the reactance of the line (5 points) c. Using basic equations of circuit analysis, show that the magnitude of the receiving end voltage (VR) is approximately 71%...
1) You have a transmission line with Zo = 500 that you wish to match to a (100-j150) load. The phase velocity on the line is 2.0x108 m/s and the frequency of operation is 91.9MHz (KSDB-FM). Use the Smith chart to find: a. The shortest distance from the load that you can insert a quarter wave transformer to match the line to the load. b. The characteristic impedance and length of the quarter wave transformer from part a. C. The...
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