(a) State what is meant by a ‘distortionless’ and a
‘lossless’ transmission line.
(b) A transmission line has the primary coefficients as given in
TABLE A. Determine the line’s secondary coefficients Zo, @ and β at
a frequency of 1 GHz.
Homework Answers
Add Answer to:
(a) State what is meant by a ‘distortionless’ and a
‘lossless’ transmission line.
(b) A transmission...
Given a 50 Ω lossless transmission line, find the length of the line so the input...
Given a 50 Ω lossless transmission line, find the length of the line so the input impedance at 3 GHz appears as a capacitor equal to 10 pF. Wave velocity on the line is 0.8c. (only one solution is necessary).
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)...
A distortionless transmission line with a characteristic impedance of ?0 = 75Ω has an attenuation constant...
A distortionless transmission line with a characteristic impedance of ?0 = 75Ω has an attenuation constant of ? = 10−3 Np/m. The line has a capacitance per unit length of C′ = 60 pF/m. (a) Find the per unit length resistance R′, inductance L′, and conductance G′ of the transmission line. (b) Find the phase velocity ?? for this line.
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?
A 6 m section of a lossless transmission line has a distributed capacitance C = 33.33...
A 6 m section of a lossless transmission line has a distributed capacitance C = 33.33 pF/m and a distributed inductance L = 0.75 μH/m. The transmission line is driven by a generator operating at 40 MHz, with a voltage Vg = 4.33 - 2.5j V and a source impedance Zg = 150 Ω. The line is terminated by a load ZL= 150 – j50 Ω. Calculate the current drawn from the source.
11.56 A 50 2 lossless transmission line that is 20 ml 120 + j220 Ω ossless transmission line that...
USE QUARTER-WAVE METHOD
11.56 A 50 2 lossless transmission line that is 20 ml 120 + j220 Ω ossless transmission line that is 20 m long is terminated into a load. To perfectly match, what should be the length and location of a short-circuited stub line? Assume an operating frequency of 10 MHz. am
11.56 A 50 2 lossless transmission line that is 20 ml 120 + j220 Ω ossless transmission line that is 20 m long is terminated into...
PRACTICE EXERCISE 11.1 A transmission line operating at 500 MHz has20-80 Ω, α Find the line...
PRACTICE EXERCISE 11.1 A transmission line operating at 500 MHz has20-80 Ω, α Find the line parameters R, L, G, and C 0.04 Np/m, β 1.5 rad/m. (/m, 38.2 nH/m,5 x 10 S/m, 5.97 pF/ m. Answer: 3.2
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...
Problem 3-15. Steady-State Conditions on a Transmission Line ine Che Chap. 3 3-11. A certain telephone...
Problem 3-15.
Steady-State Conditions on a Transmission Line ine Che Chap. 3 3-11. A certain telephone cable has the following electrical characteristics: R = 40 /mi L = 1.1 mH/mi G = negligible C = 0.062 F/mi Loading coils are added which provide an additional inductance of 30 m / well as an additional resistance of 8 l/mi. Obtain the attenuation constan phase velocities at frequencies of 300 Hz and 3300 Hz. If the coil spacing is 1/6 at a...
2. Lumped versus distributed circuits (15%) (a) A transmission line of length 1 connects a load...
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 =...
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?
USE QUARTER-WAVE METHOD
11.56 A 50 2 lossless transmission line that is 20 ml 120 + j220 Ω ossless transmission line that is 20 m long is terminated into a load. To perfectly match, what should be the length and location of a short-circuited stub line? Assume an operating frequency of 10 MHz. am
11.56 A 50 2 lossless transmission line that is 20 ml 120 + j220 Ω ossless transmission line that is 20 m long is terminated into...
PRACTICE EXERCISE 11.1 A transmission line operating at 500 MHz has20-80 Ω, α Find the line parameters R, L, G, and C 0.04 Np/m, β 1.5 rad/m. (/m, 38.2 nH/m,5 x 10 S/m, 5.97 pF/ m. Answer: 3.2
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...
Problem 3-15.
Steady-State Conditions on a Transmission Line ine Che Chap. 3 3-11. A certain telephone cable has the following electrical characteristics: R = 40 /mi L = 1.1 mH/mi G = negligible C = 0.062 F/mi Loading coils are added which provide an additional inductance of 30 m / well as an additional resistance of 8 l/mi. Obtain the attenuation constan phase velocities at frequencies of 300 Hz and 3300 Hz. If the coil spacing is 1/6 at a...
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 =...
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