Telegrapher's equations

Oliver Heaviside developed the transmission line theory known as the telegrapher's equations. The telegrapher's equations describe how electrical signals move along transmission lines such as telegraph wires. The equations embody coupled linear differential equations in time and position for V⁡(x,t) and I(⁡x,t).

The equations

The telegrapher's equations are the result of applying Maxwell's equations to two-conductor transmission lines.

<math>{\partial \over {\partial x}}V(x,t)=-{{L{\partial \over {\partial t}}I(x,t)}}<math>

<math>{\partial \over {\partial x}}I(x,t)=-{{C{\partial \over {\partial t}}V(x,t)}}<math>

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