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Deriving Telegraph Equations

Could you please show me how to derive the telegraph equations for a loss-less transmission line?

Also, please solve this problem:

A loss-less transmission line of characteristic impedance Z0 is terminated by a resistive load R. Find an expression for the input impedance of a section of the line of length l. Show that this is (Z0^2)/R if l = λ/4

Solution Preview

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I will use the symbol "d/dx" for the first partial derivative with respective to x and "d^2/dx^2" for the second partial

derivative with respective to x.

Let Rp = Resistance in Ohms per Unit Length,
L = Inductance in Henry per Unit Length
C = Capacitance in Farads per Unit Length
G = Conductance in Siemens per Unit Length.

Then, ...

Solution Summary

214 words show how to derive a telegraph equation for a lossless transmission line.

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