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ECE 3105 HW 1 Due: 05/27/2021
- The attenuation coefficient, phase constant, and characteristic impedance of a transmission
line are: 0 1 Np / m, 2 rad / m, and Z 40 . Assuming that 6 10 rad / sec ,
determine the transmission line parameters R, L, C, and G . - Using the T model of transmission line, derive the governing equation for the voltage and
current: - A 75-ohm resistive load is preceded by a /4 Section of a 50-ohm lossless line, which itself
is preceded by another/4 Section of a 100-ohm lossless line. What is the input impedance? - A lossless transmission line with a characteristic impedance of50 is terminated in a short
circuit (0 L Z ). Determine,
(a) the input impedance at a distance 2.8 from the load,
(b) the distance from the load at which the input impedance is j25 . - A lossless transmission line with characteristic impedance Z 50 0 and phase velocity
- v 3 10 m / sec p
is powered by a voltage generator with 9 vt t g () 5cos(2 10) V and
internal impedanceZ 50 . g Assuming that the line length is 5 cm and the load impedance
is Z 100 100 L j , determine (a) reflection coefficient at the load, (b) input impedance at
the input of the line, and (c) the voltage and current phasors at the input of the line.
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