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'''Lumped matter discipline''' is a set of imposed assumptions in [[electrical engineering]] that provides the foundation for '''lumped circuit abstraction''' used in [[Network analysis (electrical circuits)|network analysis]].<ref>Anant Agarwal and Jeffrey Lang, course materials for 6.002 Circuits and Electronics, Spring 2007. MIT OpenCourseWare ([http://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-002-circuits-and-electronics-spring-2007/video-lectures/6002_l1.pdf PDF]), [[Massachusetts Institute of Technology]].</ref> The self-imposed constraints are:
 
1. The change of the magnetic flux in time outside a conductor is zero.
::<math>\frac{\partial \phi_B} {\partial t} = 0</math>
 
2. The change of the charge in time inside conducting elements is zero.
::<math>\frac{\partial q} {\partial t} = 0</math>
 
3. Signal timescales of interest are much larger than propagation delay of [[electromagnetic waves]] across the lumped element.
 
The first two assumptions result in [[Kirchhoff's circuit laws]] when applied to [[Maxwell's equations]] and are only applicable when the circuit is in [[steady state (electronics)|steady state]]. The third assumption is the basis of the [[lumped element model]] used in [[Network analysis (electrical circuits)|network analysis]]. Less severe assumptions result in the [[distributed element model]], while still not requiring the direct application of the full Maxwell equations.
 
== References ==
{{reflist}}
 
[[Category:Electrical engineering]]
 
 
{{Electron-stub}}

Latest revision as of 18:32, 12 January 2015

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