Log-Cauchy distribution: Difference between revisions
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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}} | |||
Revision as of 04:56, 10 December 2013
Lumped matter discipline is a set of imposed assumptions in electrical engineering that provides the foundation for lumped circuit abstraction used in network analysis.[1] The self-imposed constraints are:
1. The change of the magnetic flux in time outside a conductor is zero.
2. The change of the charge in time inside conducting elements is zero.
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. The third assumption is the basis of the lumped element model used in network analysis. Less severe assumptions result in the distributed element model, while still not requiring the direct application of the full Maxwell equations.
References
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- ↑ Anant Agarwal and Jeffrey Lang, course materials for 6.002 Circuits and Electronics, Spring 2007. MIT OpenCourseWare (PDF), Massachusetts Institute of Technology.