Transmission line
e) Given: \(Z_{L}=110-j 75 \Omega\) and \(Z_{0}=80 \Omega\), determine the Zin, reflection coefficient and the SWR if
1) \(s=10 \mathrm{~m}\) and \(\delta=0.4 \pi \mathrm{rad} / \mathrm{m}\) (assume lossless)
2) length is \(200^{\circ}\)
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Please help! A 75-12 lossless transmission line has l = 0.752. An inductive load, Zl, is...
Please help!
A 75-12 lossless transmission line has l = 0.752. An inductive load, Zl, is terminated where ZL = 75 + 75 12. (a) Find the standing wave ratio S on the line. (b) Find the load reflection coefficient, r(O), and the reflection coefficient seen at input, 7(1). (c) Find the input impedance of the line, Zin, for four different line lengths: 11 = 1/8, 12 = 9/4, 13 = 34/8, and 14 = 1/2, respectively. V(z), 7(z) ZO.B
A lossless transmission line of electrical length l = 0.35λ is terminated in a load impedance...
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.
12. The senior engineer gives you the task of determining what would be the shortest length...
12. The senior engineer gives you the task of determining what would be the shortest length ( in mm ) of a short-circuited 50-Ω ideal ( Єr = 1 ) transmission line needed to represent an impedance. Zin = j 50 Ω at f = 1.0 GHz. LSC =--------------------------------------- mm 10. In the lab you are asked to measure an unknown load attached to a ( lossless ) 50-Ω, 0.4 λ long transmission line. You find the component has a voltage...
f) the current wave inside the transmission line represented in the time domain Problem 1: A...
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)...
Seawater+Wastewater mixing (Water pollution)
Example 7.15: According to the following information, determine whether a fish, which requires 6 \(\mathrm{mg} / \mathrm{L}\) dissolved oxygen, would survive in the river.Given:Waste water flow rate \(\left(\mathrm{Q}_{w}\right)=1.2 \mathrm{~m}^{3} / \mathrm{s}\)River flow rate \(\left(\mathrm{Q}_{r}\right)=10 \mathrm{~m}^{3} / \mathrm{s}\)River temperature \(\left(T_{r}\right)=15^{\circ} \mathrm{C}\)River ultimate \(\mathrm{BOD}\left(\mathrm{BOD}_{r}\right)=2.3 \mathrm{mg} / 1\)River reaeration rate \(=0.4\) per day for BOD testBOD concentration was initially \(9 \mathrm{mg} / \mathrm{l}\), after 5 days was \(6 \mathrm{mg} / 1\) and after an indefinitely long period of time was \(2.5 \mathrm{mg} /...
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)...
10.198 A lossless transmission line is 50 cm in length and operates at a frequency of...
10.198 A lossless transmission line is 50 cm in length and operates at a frequency of 100 MHz. The line parameters are L-0.2 μ H/m and C = 80 pF/m. The line is terminated in a short circuit at z 0, and there is a load ZL = 50 + j 20 Ω across the line at location z--20 cm. What average power is delivered to ZL if the input voltage is 10020 V?
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...
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:...
NOTE: IT IS VERY IMPORTANT TO STATE THE UNIT OF EVERY QUANTITY UNLESS IT IS UNITLESS...
NOTE: IT IS VERY IMPORTANT TO STATE THE UNIT OF EVERY QUANTITY UNLESS IT IS UNITLESS Problem 2 (30 pts) A transmission line has the following circuit values per unit length: a 0.5 S2/m resistance, a 10 S/m conductance, a 200 pF/m capacitance, and a 0.15 uH/m inductance. Knowing that the operating frequency is 450 Mrad/s calculate the following eight quantities: Y, Z, Y, C, B, 2, Vp, and Z. Problem 3 (25 pts) Analyzing wave reflection at discontinuities in...
In response to a step voltage, the voltage waveform shown in the accompanying figure was observed at the midpoint of a lossless transmission line with Zo-50 Ω and up 2 x 108 m/s. Determine: i) the le...
In response to a step voltage, the voltage waveform shown in the accompanying figure was observed at the midpoint of a lossless transmission line with Zo-50 Ω and up 2 x 108 m/s. Determine: i) the length of the line, ii) ZL, iii) Rg and iv) Vg. L, 111 Vl/2, 1) 12 V1 15 21 (us) 3VF--
In response to a step voltage, the voltage waveform shown in the accompanying figure was observed at the midpoint of a lossless transmission...
Please help!
A 75-12 lossless transmission line has l = 0.752. An inductive load, Zl, is terminated where ZL = 75 + 75 12. (a) Find the standing wave ratio S on the line. (b) Find the load reflection coefficient, r(O), and the reflection coefficient seen at input, 7(1). (c) Find the input impedance of the line, Zin, for four different line lengths: 11 = 1/8, 12 = 9/4, 13 = 34/8, and 14 = 1/2, respectively. V(z), 7(z) ZO.B
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)...
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)...
10.198 A lossless transmission line is 50 cm in length and operates at a frequency of 100 MHz. The line parameters are L-0.2 μ H/m and C = 80 pF/m. The line is terminated in a short circuit at z 0, and there is a load ZL = 50 + j 20 Ω across the line at location z--20 cm. What average power is delivered to ZL if the input voltage is 10020 V?
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:...
NOTE: IT IS VERY IMPORTANT TO STATE THE UNIT OF EVERY QUANTITY UNLESS IT IS UNITLESS Problem 2 (30 pts) A transmission line has the following circuit values per unit length: a 0.5 S2/m resistance, a 10 S/m conductance, a 200 pF/m capacitance, and a 0.15 uH/m inductance. Knowing that the operating frequency is 450 Mrad/s calculate the following eight quantities: Y, Z, Y, C, B, 2, Vp, and Z. Problem 3 (25 pts) Analyzing wave reflection at discontinuities in...
In response to a step voltage, the voltage waveform shown in the accompanying figure was observed at the midpoint of a lossless transmission line with Zo-50 Ω and up 2 x 108 m/s. Determine: i) the length of the line, ii) ZL, iii) Rg and iv) Vg. L, 111 Vl/2, 1) 12 V1 15 21 (us) 3VF--
In response to a step voltage, the voltage waveform shown in the accompanying figure was observed at the midpoint of a lossless transmission...
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