Where does the origin lie in the Transmission line equation

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SUMMARY

The Transmission Line Equation is expressed as Φ(x, t) = F(x − ct) + G(x + ct), where F(x-ct) represents the forward traveling wave and G(x+ct) represents the reverse traveling wave. The discussion clarifies that the origin can be positioned at either the load or the source side, with common practice placing it at the left terminus where the voltage source resides. This positioning affects the definitions of F() and G(), confirming that the origin's location is flexible based on the analysis context.

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iVenky
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Transmission line equation is of the form-

Φ(x, t) = F(x − ct) + G(x + ct)

where F(x-ct) is the forward traveling wave and
G(x+ct) is the reverse traveling wave

'x' is the distance from the origin. Now my question is where does the origin lie? Usually in Transmission lines we assume that origin lies in the load (right side) but if we see this equation it looks as if the origin lies in the source (generator) side in accordance with the wave equation.

Thanks in advance.
 
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origin can be wherever (on the line) you care to put it.

usually i see it at the left terminus of the line and x=L at the right terminus. usually, at the left is the driving voltage source (with an internal impedance) and at the right is the load impedance. that will affect what F() and G() are.
 
rbj said:
origin can be wherever (on the line) you care to put it.

usually i see it at the left terminus of the line and x=L at the right terminus. usually, at the left is the driving voltage source (with an internal impedance) and at the right is the load impedance. that will affect what F() and G() are.


Thanks for the reply. But I would like to know if I was correct or not. In the above equation that I had mentioned if F() is the forward propagation wave then it should mean that the voltage source is the origin, right?

Thanks a lot
 

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