Faraday's Law of Electromagnetic Induction

AI Thread Summary
The discussion centers on applying Faraday's Law of Electromagnetic Induction to a rectangular loop in a magnetic field. For part (a), the average induced electromotive force (emf) is calculated to be approximately 0.399 V when the magnetic field decreases from 2.26 T to zero over 0.475 seconds. In part (b), confusion arises regarding the relationship between changes in magnetic field and area to achieve the same induced emf. The correct approach involves using the equation for induced emf in terms of area change, specifically focusing on how to express the change in area over time as a function of the magnetic field and the angle. Ultimately, understanding the distinction between changes in magnetic field and area is crucial for solving the problem effectively.
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A constant magnetic field passes through a single rectangular loop whose dimensions are 0.348 m x 0.593 m. The magnetic field has a magnitude of 2.26 T and is inclined at an angle of 66.0° with respect to the normal to the plane of the loop. (a) If the magnetic field decreases to zero in a time of 0.475 s, what is the magnitude of the average emf induced in the loop?
(b) If the magnetic field remains constant at its initial value of 2.26 T, what is the magnitude of the rate at which the area should change so that the average emf has the same magnitude?

I know how to figure out part a, its part b that confused me.
a) E=NAcos(theta)((B1-B2)/(t1-t2))
=3.99*10^-1 V

b) E=N(change in flux/change in time) and (change in flux)=BAcos(theta)
E=N(BAcos(theta)/(change in time))
E=NA(cos(theta))(change in B/change in time)

I think I may be going about an equation wrong, and I can't distinguish when to focus on a change in B and change in area. because I worked with B in the previous question. I dunno, I'm just confused.
 
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e=-\frac{d\Phi}{dt}...If you have found the correct "e" at point a),the for point b),u need to compute
\frac{dA}{dt}...

Daniel.
 
(change in A/change in time) = ((m)(m)) / (NBcos(theta))

It's not clear to me what I did wrong with this.
okay, nevermind.
V=B(change in area/change in time)
is there some special thing I am overlooking because plug and
chugging into equations I know arent helping me understand
anything.
 
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d\Phi =\vec{B}\cdot\vec{n} dA=B\cos 66deg \ dA [/tex]<br /> <br /> Divide through &quot;-dt&quot;...<br /> e=-B\cos 66deg \ \frac{dA}{dt}<br /> <br /> And now express \vec{dA}{dt} as a function of B,e,cos 66°...<br /> <br /> Daniel.
 
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