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Consider a 50-Hz 500-km lossless transmission line with the following parameters: L=1.05 mH/km/ph and C=11.86nF/km/ph. Assume VR =500kV (LL).

a) Calculate the characteristic impedance of the line

User Tolotra
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Final answer:

The characteristic impedance of the transmission line is 305.44 Ω.

Step-by-step explanation:

The characteristic impedance of a transmission line is given by the formula:

Z0 = sqrt(L/C)

Where L is the inductance per unit length and C is the capacitance per unit length.

In this case, the inductance is given as 1.05 mH/km/ph and the capacitance is given as 11.86nF/km/ph. Converting these values to per meter, we get:

L = 1.05 μH/m/ph and C = 11.86 pF/m/ph.

Substituting these values into the formula:

Z0 = sqrt(1.05 μH/m/ph / 11.86 pF/m/ph) = 305.44 Ω

User Bern
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