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 <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):  
 
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>
 
<center> <math> \oint {\mathbf E} \cdot d{\mathbf l} = -\frac{\partial \phi}{\partial t} . </math></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>:  
 
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>
 
<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>
 
See a classic text, such as Jackson (1962) <ref> Jackson, J. D. (1962). Classical electrodynamics (Vol. 3). New York etc.: Wiley.</ref>
  
  
==References ==
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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.