Difference between revisions of "Dictionary:Electric field"

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A spatial vector quantity equal to a potential gradient, produced by charged bodies or a time-varying magnetic field. Unit is volts per meter. The electric field <b>E</b> induced in a loop equals the negative time derivative of the magnetic flux [[File:Fgr.gif]] cutting the loop (d<b>I</b> is a length element of the loop):
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<center> [[File:Conintr.gif]] <b>E</b>[[File:Middot.gif]]''d''<b>I</b>=&#x2013;&#x2202;[[File:Fgr.gif]]/&#x2202;''t''.</center>
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A spatial vector quantity equal to a potential gradient, produced by charged bodies or a time-varying magnetic field. Unit is volts per meter. The electric field <math> {\mathbf E}</math> induced in a loop equals the negative time derivative of the magnetic flux <math> \phi </math> cutting the loop (<math> d{\mathbf l} </math> is a length element of the loop):
  
  
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<center> <math> \oint {\mathbf E} \cdot d{\mathbf l} = -\frac{\partial \phi}{\partial t} . </math></center>
  
It is also expressed in terms of the change in the magnetic induction <b>B</b> with time ''t'':
 
  
<center>[[File:Nabla.gif]]&#x00D7;<b>E</b>=&#x2013;&#x2202;<b>B</b>/&#x2202;''t''.</center>
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It is also expressed in terms of the change in the magnetic induction <math> {\mathbf B} </math> with time <math> t </math>:
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<center> <math>\nabla \times {\mathbf E } = - \frac{\partial {\mathbf B }}{\partial t}. </math> </center>
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See a classic text, such as Jackson (1962) <ref> Jackson, J. D. (1962). Classical electrodynamics (Vol. 3). New York etc.: Wiley.</ref>
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==References == <!--T:7-->
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Latest revision as of 10:37, 31 July 2018

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A spatial vector quantity equal to a potential gradient, produced by charged bodies or a time-varying magnetic field. Unit is volts per meter. The electric field induced in a loop equals the negative time derivative of the magnetic flux cutting the loop ( is a length element of the loop):



It is also expressed in terms of the change in the magnetic induction with time :



See a classic text, such as Jackson (1962) [1]


References

  1. Jackson, J. D. (1962). Classical electrodynamics (Vol. 3). New York etc.: Wiley.