Problem 3-15. Steady-State Conditions on a Transmission Line ine Che Chap. 3 3-11. A certain telephone...
Problem 3-3. ate Conditions on a Transmission Line Steady-State Conditions on a Line Cha Chap. 3 JE! 11 RMS voltage and current 2X 31/2 x 1/2 Figure 3-36 Standing waves on a lossy transmission line. PROBLEMS 2.1. The characteristic impedance (20) of a lossy transmission line depends on whil of the following? (a) Length of the line. (b) Frequency of the applied signal. (c) Dielectric constant of the insulation. (d) Load at the end of the line. (e) Separation and...
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 =...
(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. 2 Ω/m L \ 8 nH/m G \ 0.5 mS/m C \ 0.23 pF/m TABLE A RLOC
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....
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)...
Problem 3. A lossless air-filled transmission line with Zo = 500 is terminated in a load with Z. = (100 +j25) 22. Determine the reflection coefficient, VSWR, and the input impedance 0.122 away from the load.
3. A transmission line has two voltages on it, ν,(x,t)-10cos(2n100-25x) and y,(x,t)-.2cos(2n100 + 25x). Sketch v(x,t) +v,(x,t) as a function of x if a) Vm2-10 and t-0,10ms,20ms b) Vm2-5 and t-0,10ms,20ms Use the trig identity cos A+cos B=2cos|-(A+B)|cos|式4-B) | to establish the total voltage on the c) transmission line. What insight is gained from this result? 4. The input impedance of a transmission of length I, with characteristic impedance Zo, connected to a load Z, is given below 2π where...
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...
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?
Problem 2: A 345 kV, 60 Hz, three-phase characteristic parameters of the transmission line are: transmission line is 130 km long. The r= 0.036 ?/km L = 0.8 x 10-3 H/km C = 0.0112 x 10-6 F/km The receiving end load is 270 MVA with 0.8 PF lagging at 325 kV. (k) What is the total series impedance of this transmission line? (5 points) () What is the total shunt admittance of this transmission line? (5 points) (m) Calculate the...