- #1
smantics
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Homework Statement
Why does the Faraday Law of Induction not suffer from the inconsistency encountered with the Ampere Law?
Homework Equations
[itex]\oint[/itex] E * dl = - (N) d/dt [itex]\int[/itex]B * dA
The Attempt at a Solution
The Ampere Law is inconsistent with the time varying equation of continuity, so Maxwell put in the "displacement current" term to the current-density term. Faraday's law states that the EMF induced by a change in magnetic flux depends on the change in flux, change in time and the number of turns of coils(N). The minus sign in Faraday's law of induction means that the EMF creates a current I and magnetic field B that oppose the change in flux.
So is the reason that the Faraday's Law of Induction doesn't have the inconsistency because of the presence of time derivative of the flux or because of the negative sign?