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IEVref:121-11-26ID:
Language:enStatus: Standard
Term: (electric) potential difference
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Definition: difference between the electric potentials at two points

NOTE – The electric potential difference VbVa between two points a and b is equal to the negative of the line integral, along any path linking points a and b, of the irrotational vector ( E+ A t ) MathType@MTEF@5@5@+=feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbbjxAHXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaeqabiGaciGacaqadmaadaqaaqaaaOqaamaabmaabaacbmGaa8xraiabgUcaRmaalaaabaGaeyOaIyRaaGPaVlaa=feaaeaacqGHciITcaWG0baaaaGaayjkaiaawMcaaaaa@3EAB@ , where E is the electric field strength, A a magnetic vector potential and t the time:

V b V a = r a r b ( E + A t ) dr MathType@MTEF@5@5@+=feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbbjxAHXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaeqabiGaciGacaqadmaadaqaaqaaaOqaaiaadAfadaWgaaWcbaacbaGaa8NyaaqabaGccqGHsislcaaMi8UaaGjbVlaadAfadaWgaaWcbaGaa8xyaaqabaGccqGH9aqpcaaMe8UaeyOeI0IaaGjcVpaapehabaWaaeWaaeaaieWacaGFfbGaey4kaSYaaSaaaeaaiiaacqqFciITcaaMe8Uaa4xqaaqaaiab9jGi2kaaysW7caWG0baaaaGaayjkaiaawMcaaaWcbaGaa4NCamaaBaaameaaieqacaaFHbaabeaaaSqaaiaa+jhadaWgaaadbaGaaWNyaaqabaaaniabgUIiYdGccqGHflY1caWFKbGaa4NCaaaa@57E2@

where ra and rb are the position vectors for a and b, respectively, and dr is the vector line element.


Publication date:1998-08
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Internal notes:2017-06-02: Cleanup - Remove Attached Image 121-11-261.gif

2017-06-02: Cleanup - Remove Attached Image 121-11-262.gif
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