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Elementary,Middle School,High School,College,University,PHD
| Teaching Since: | May 2017 |
| Last Sign in: | 408 Weeks Ago, 1 Day Ago |
| Questions Answered: | 66690 |
| Tutorials Posted: | 66688 |
MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
Suppose you want to define a magnetic scalar potential U (Eq. 5.67) in the vicinity of a current-carrying wire. First of all, you must stay away from the wire itself (there ∇ x B ≠0); but that's not enough. Show, by applying Ampere's law to a path that starts at a and circles the wire, returning to b (Fig. 5.47), that the scalar potential cannot be single-valued (that is, U (a) ≠U (b), even if they represent the same physical point). As an example, find the scalar potential for an infinite

straight wire. (To avoid a multivalued potential, you must restrict yourself to simplyconnected regions that remain on one side or the other of every wire, never allowing you to go all the way around.)
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