Emf induced in the windings of coil

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SUMMARY

The discussion centers on calculating the electromotive force (emf) induced in a tightly wound circular coil with 36.8 turns and a radius of 0.1m, subjected to a uniform magnetic field increasing from 0 to 0.42T over 0.251 seconds. The correct formula for emf is applied: emf = -N(dmagflux/dt), where the rate of change of the magnetic field (dB/dt) is calculated as 1.6733 T/s. The initial calculation yielded -1.934V, which was incorrect due to the need to report only the magnitude and the improper use of significant figures.

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Homework Statement


a tightly wound circular coil has 36.8 turns, each of radius .1m. the uniform magnetic field is in a direction perpendicular to the plane of the coil. the field increased linearly from 0 to .42t in a time of .251s.
what is the emf induced in the windings of the coil?


Homework Equations


emf=-N(dmagflux/dt)
dmagflux=dBA/dt
emf=-n*A*dB/dt
A=pi*r^2

The Attempt at a Solution



dB/dt is rate I determined to be .42t/.251s=1.6733tpersec

emf=-36.8*pi*.1m*.1m*1.6733t per sec=-1.934v

 
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i really don't know what i have done wrong but the answer is wrong please help
 
Your thinking and method are correct. A couple of reasons why your answer might be rejected:
  • They are just looking for the magnitude of the EMF, so no "-" sign is needed
  • Wrong number of significant figures in the answer.
 
thanks a lot
 

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