maximum induced EMF and average induced EMF

[Mao]

A generator consists of a coil of 1000 turns, each of an area equal to 0.004m². If it rotates inside a 0.02T magnetic field 8 times a second, calculate the maximum emf induced. (in a nutshell)

so,

and therefore, we can model the flux as a sinusoidal function:

where (wikipedia called this angular frequency)

it follows that


hence,

the answers, I shortly found out later, was actually 2.56V, which was derived by , which is the average EMF...

so the killer question is, since we're still rooted in VCELand, which one does VCAA like?
does VCAA think we should throw sinusoidal waves out the window and make do with triangles?

[cara.mel]

I don't think you can calculate maximum emf in vce land, but then I don't remember that much any more
I suppose if you could work out -delta flux/delta time for an instantaneous value or something

Or times it by rt 2, that could always work
This post is useless

[Tea.bag]

i read this formula from my book..
its EMF(max)=NBA*2*pi*f
hope that helps

[Umesh]

yeap one stop solution NBA2pieF

[enwiabe]

Nah, you're doing it wrong. That sinusoidal model sucks because it takes flux = AB which is just a shitty approximation of what flux really is, which is the double integral of the energy dotted with the area vector over a surface, S.



Just use the formula for armature coils which is given above by Tea.bag. You can't go wrong

[Mao]

Nah, you're doing it wrong. That sinusoidal model sucks because it takes flux = AB which is just a shitty approximation of what flux really is, which is the double integral of the energy dotted with the area vector over a surface, S.



Just use the formula for armature coils which is given above by Tea.bag. You can't go wrong

they are exactly the same enwiabe

I did just that:

[Captain]

so the killer question is, since we're still rooted in VCELand, which one does VCAA like?
does VCAA think we should throw sinusoidal waves out the window and make do with triangles?

Yes!

VCAA = God, until midnovember.

[fredrick]

Sorry bout reviving this topic lol.

Just looking through it and i think the max emf induced occurs when the coil is rotated half a turn as opposed to a quarter turn? I got 1.92V induced at quarter turn and 2.56V at half a turn. But the first post says max occurs at quarte turn?

[mark_alec]

A full turn is 360 degrees ( radians.) Since the magnetic field (B) is constant, the Area (A) is the only thing changing with time.


which has a maximum magnitude at
which is a quarter turn.

[onlyfknhuman]

OMG SO WHICH ONE IS IT? the topic hasnt even been answered >_<

[Cthulhu]

Most of the exams I've looked at either specify it or want average EMF by default if they do not specify