Induced EMF in Non-Uniform Magnetic Field

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haha i know, but i don't really know how i got it. i just kinda guessed because all else failed. it doesn't make sense to me... half was in the + B-field and half was in the - B-field I would just think that they'd cancel out and it would equal 0.
 
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The flux through the loop is indeed 0, but the emf doesn't depend on the flux but on the rate of change of the flux. That's what you need to calculate.
 
does it have anything to do with how that person was talking abour charges? like how the left side say wants to pull more to the left and the right side wants to pull more towards the right and so that puts twice the change on it ?
 
hello, what is the difference between the flux density of air gap and iron in magnetic circuit.
let say i have an iron ring with an air gap of 1mm. do the air gap and iron ring produce the same magnitude of flux density and flux.