Common
Telegrapher's equations
Mathematical descriptions of transmission line voltage and current
Telegrapher's equations
The telegrapher's equations (or telegraph equations) are a set of two coupled, linear partial differential equations that model voltage and current along a linear electrical transmission line. The equations are important because they allow transmission lines to be analyzed using circuit theory. The equations and their solutions are applicable from 0 Hz (i.e. direct current) to frequencies at which the transmission line structure can support higher order non-TEM modes. The equations can be expressed in both the time domain and the frequency domain. In the time domain the independent variables are distance and time. In the frequency domain the independent variables are distance x {\displaystyle x} and either frequency, ω {\displaystyle \omega } , or complex frequency, s {\displaystyle s} . The frequency domain variables can be taken as the Laplace transform...
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