How Is EMF Induced in a Rotating Rectangular Loop?

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SUMMARY

The discussion centers on calculating the electromotive force (EMF) induced in a rectangular loop rotating in a magnetic field. Given a loop area of 0.15 m² and a magnetic field strength of 0.16 T, the induced EMF was initially miscalculated due to a misunderstanding of the area measurement. The correct calculation involves using the formula EMF = -N (delta flux/delta time), where the flux is determined to be 0.024 Wb. The final induced EMF is 0.011 V after correcting the area value.

PREREQUISITES
  • Understanding of electromagnetic induction principles
  • Familiarity with the formula for magnetic flux (Flux = B * A)
  • Knowledge of how to calculate EMF using Faraday's law
  • Basic trigonometry to interpret angles in radians
NEXT STEPS
  • Study Faraday's Law of Electromagnetic Induction in detail
  • Learn about the effects of angular velocity on induced EMF
  • Explore applications of EMF in rotating machinery
  • Investigate the role of magnetic field strength in induction processes
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Students in physics, electrical engineering majors, and anyone interested in understanding the principles of electromagnetic induction and its applications in real-world scenarios.

daimoku
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[SOLVED] Emf in a rectangular loop

Homework Statement


A rectangular loop (area = 0.15 m^2) turns in a uniform magnetic field, B = 0.16 T. When the angle between the field and the normal to the plane of the loop is pi/2 rad and increasing at 0.70 rad/s, what emf is induced in the loop?


Homework Equations


Flux=B*A

EMF=-N (delta flux/delta time)


The Attempt at a Solution



Flux= 0.16T * 0.15 m^2 = 0.024

Not sure what to do for the EMF.
Divided pi/2 radians by 0.70 rad/s to find time of 2.24 seconds. Then divided the flux by the time so... 0.024/2.24=0.011V

Thanks in advance for your help!
 
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Actually, I was making a silly mistake...answer was off by one decimal place because I misread the area to be 0.015 m^2. Pretty simple problem lol
 
Last edited:

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