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ContentโMaxwell's Equations
Maxwell's Equations
In steady state with stationary net charge and constant current, the Maxwell's equations becomes
Inward/Outword Pointing Fields:
Inward/Outward through closed surface and Curly through boundary of open surface are independent field configurations in constant steady state.
Faraday's LawThe Faraday's law is
Therefore Faraday's law can also be defined as emf=โ๐ฮฆ_{mag}๐๐กwhere โ sign means that loops of wire oppose changes in the enclosed or net magnetic flux. Curly ๐ธ from Moving a Loop of WireIn the presence of a perpendicular field, changing the area of a loop of wire causes a motional emf.Curly ๐ธ from Changing ๐ตMoving the loop of wire away from or toward the magnet causes a current to run.Lenz's LawThe direction of curly electric field depends on the direction of magnetic field ๐ต_{ext} and the rate of changes of magnetic field with โ๐ต_{ext}=๐ต_{ext,final}โ๐ต_{ext,initial}. The right hand rule still applies to ๐ธ_{NC} because the โ sign is already added to indicate that the loop opposes changes in magnetic flux.For topleft example: ๐ต_{ext} is positive and ๐ต_{ext} is increasing imply โ ๐๐ต_{ext}๐๐กis pointing backward, โ(+(+)), and by righthand rule, ๐ธ_{NC} is clockwise. For topright example: ๐ต_{ext} is positive and ๐ต_{ext} is decreasing imply โ ๐๐ต_{ext}๐๐กis pointing forward, โ(โ(+)), and by righthand rule, ๐ธ_{NC} is counterclockwise. For bottomleft example: ๐ต_{ext} is negative and ๐ต_{ext} is increasing imply โ ๐๐ต_{ext}๐๐กis pointing forward, โ(+(โ)), and by righthand rule, ๐ธ_{NC} is counterclockwise. For bottomright example: ๐ต_{ext} is negative and ๐ต_{ext} is decreasing imply โ ๐๐ต_{ext}๐๐กis pointing forward, โ(โ(โ)), and by righthand rule, ๐ธ_{NC} is clockwise. And the lenz's Law: A loop of wire tends to oppose changes of magnetic flux through it. And topleft is easier to remember. Source and Referencehttps://www.youtube.com/watch?v=BlPctmU1VUg&list=PLZ6kagz8q0bvxaUKCe2RRvU_h7wtNNxxi&index=24ยฉsideway ID: 200102902 Last Updated: 1/29/2020 Revision: 0 Latest Updated Links

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