Conceptual question about Faraday's Law

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SUMMARY

The discussion centers on calculating the average induced electromotive force (emf) in a circular loop within a solenoid, given specific parameters. The solenoid has 10 turns/cm and carries a 4-A current, which increases by 25% over 0.1 seconds. The average induced emf is determined without needing the solenoid's area, as the magnetic field inside the solenoid is uniform. The relationship between the loop's area and the angle of 37 degrees is acknowledged, but the uniformity of the magnetic field simplifies the calculation.

PREREQUISITES
  • Understanding of Faraday's Law of Electromagnetic Induction
  • Knowledge of magnetic fields in solenoids
  • Familiarity with the concept of induced emf
  • Basic trigonometry for angle calculations
NEXT STEPS
  • Study the derivation of Faraday's Law in detail
  • Explore the effects of solenoid geometry on magnetic field uniformity
  • Learn about the relationship between current changes and induced emf
  • Investigate applications of induced emf in practical circuits
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Students studying electromagnetism, physics educators, and anyone interested in the practical applications of Faraday's Law in electrical engineering.

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Homework Statement


A solenoid has 10 turns/cm and carries a 4-A current. A circular loop with 5 turns of area i cm^2 lies within the solenoid with its axis at 37 degrees to the axis of the solenoid. Find the magnitude of the average induced emf if the current increases by 25% in .1 seconds.

I got the right answer, but something makes me a little uncomfortable: how come the solenoid's area is not given, and why is it not relevant to the solution? Shouldn't the flux through the loop depend on the ratio of (area of loop) * cos(37) /(area of solenoid)?
 
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Because inside solenoid, the magnetic field is radially uniform.
 
I get it. Thanks.
 

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