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Quiz 1 - Transmission Line

Give the following transmission line in Figure 1 having a series inductance and resistance, and a parallel capacitance and susceptance with the associated values. Find the total impedance (Z), total admittance in siemens (Y), output impedance (Zo), the velocity propagation (Vp), and the attenuation in dB/meter.


L = 200mH/meter
R = 0.25ohms/meter
C = 100pF/meter
G = 1uS/meter
f = 1MHz




Answers:

For part 1, calculating the total impedance and admittance we take the real resistive component (R) and add it to the imaginary component (ωL), where ω = 2 Π

Z = R + jωL = 0.25+1.256j
The admittance, Y = G + jωC = 1E-6 + 628.32E-6

Zo = [ Z / Y ]1/2
Zo = [ (R + jωL) / (G + jωC) ]1/2
Zo = 44.94 - j4.39

Now, for calculating the propagation velocity;
Vp = 1 / [LC]1/2 = 223.61E3





Engineering key words: Line theory, transmission lines, capacitive, inductive, resistive, susceptance, frequency, velocity factor, propagation, input and output characteristics, attenuation, pad, dB.


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