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Telegraph Equation

  • K. Yosida
Chapter
  • 346 Downloads
Part of the Applied Mathematical Sciences book series (AMS, volume 55)

Abstract

We shall discuss the voltage and the current in a long cable consisting of two parallel wires stretched along the λ-axis. Let U(λ,t) and I(λ,t) respectively be the voltage and the current at the point of the cable with coordinate λ at the instant t. Then the following relations hold between the functions U and I:
$$ {U_\lambda } = - L{I_t} - RI, {I_\lambda } = - C{U_t} - GU, $$
(33.1)
where R denotes resistance, L self-inductance, G leak-conductance and C capacitance; these quantities are measured per unit length of the cable.

Keywords

General Solution Preceding Section Electromotive Force Small Loss Initial Instant 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1984

Authors and Affiliations

  • K. Yosida
    • 1
  1. 1.Kamakura 247Japan

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