Induced emf is my answer correct ( not sure about b value)

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SUMMARY

The discussion centers on calculating the induced electromotive force (emf) in a circular wire loop with a diameter of 6.8 cm, as the magnetic field changes from +0.39 T to -0.62 T over a time interval of 160 ms. The correct approach involves using Faraday's Law, which states that induced emf equals the rate of change of magnetic flux. The participants emphasize the need to calculate the change in flux through the area of the loop, rather than relying solely on the average change in magnetic field strength.

PREREQUISITES
  • Understanding of Faraday's Law of Electromagnetic Induction
  • Knowledge of magnetic flux and its calculation through a circular area
  • Familiarity with the formula for induced emf: e = Blv
  • Basic concepts of magnetic field strength and its units (Tesla)
NEXT STEPS
  • Learn how to calculate magnetic flux through a circular loop using the formula Φ = B * A
  • Study the derivative of magnetic flux with respect to time to understand the rate of change
  • Explore practical applications of Faraday's Law in electrical engineering
  • Investigate the implications of induced emf in various electromagnetic systems
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone interested in understanding the principles of electromagnetic induction and its applications in technology.

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Homework Statement



The magnetic field perpendicular to a circular wire loop 6.8cm in diameter is changed from +0.39 T to -0.62 T in 160 m/s , where + means the field points away from an observer and - toward the observer.

Homework Equations



e=Blv

The Attempt at a Solution



e= 6.8 *10^-2 x 160 x .71/ (the difference) or is it 1.01 the 0.39 - 1.01 = -.62
 
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I think you should be using Faraday's Law for this problem. Just keep in mind that they give you an average value for the change of B, but you need the derivative of the flux with respect to time.
 
Induced emf = rate of change of flux linkage.
You have been given the flux density,B,. Do you know how to calculate the flux through an area with diameter 6.8cm
Can you then calculate the change in flux per second?
 

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