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ECE 3105 HW 1 Due: 05/27/2021

1. 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 .
2. Using the T model of transmission line, derive the governing equation for the voltage and
   current: 
3. 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?
4. 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 .
5. A lossless transmission line with characteristic impedance Z 50 0   and phase velocity
6. 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.