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IEVref: | 131-12-86 | ID: | |

Language: | en | Status: Standard | |

Term: | transmission line | ||

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Definition: | one-dimensionally distributed two-terminal-pair circuit element characterized by lineic inductance l, lineic capacitance c, lineic resistance r and lineic conductance g which may all be functions of the same space coordinate x, where the voltage u(x, t) and the electric current i(x, t), where t is the time, are related by the partial differential equations:$-\frac{\partial u(x,t)}{\partial x}=ri+l\frac{\partial i(x,t)}{\partial t}$ $-\frac{\partial i(x,t)}{\partial x}=gu+c\frac{\partial u(x,t)}{\partial t}$
NOTE – For the qualifier "lineic", see IEC 60050-111. | ||

Publication date: | 2002-06 | ||

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Internal notes: | 2013-05-08: Equation corrected. See correspondence. JGO 2017-06-02: Cleanup - Remove Attached Image 131-12-86.gif | ||

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$-\frac{\partial u(x,t)}{\partial x}=ri+l\frac{\partial i(x,t)}{\partial t}$

$-\frac{\partial i(x,t)}{\partial x}=gu+c\frac{\partial u(x,t)}{\partial t}$