Whether a cable is supplied with voltage U to deliver a direct current i, or with voltage Va to deliver an alternating current ia , the study of its behavior in power transmission is governed by partial differential equations known as telegraphists' equations.
Consider figure 1 (by convention, the source is at abscissa x = 0). We denote by λ the linear inductance in (H · m–1), γ the linear capacitance in F · m–1 and r the linear resistance in Ω · m–1.
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