ECE 3105

【ECE 3105】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.

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