Calculating Average Induced EMF of 100-Turn Coil in 0.36s

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Homework Help Overview

The problem involves calculating the average induced electromotive force (emf) in a 100-turn coil subjected to a magnetic field that reverses direction over a specified time interval. The context includes concepts from electromagnetism, specifically Faraday's law of induction.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the appropriate formula for calculating induced emf and the definition of magnetic flux. There are questions about the relationship between the time interval and the reversal of the magnetic field. Some participants explore using the magnetic flux equation involving the angle and area of the coil.

Discussion Status

The discussion is active, with participants confirming the correctness of the formula and clarifying the definitions involved. Guidance has been offered regarding the values for magnetic field and area, and there is an exploration of the implications of the angle in the context of the problem.

Contextual Notes

Participants are navigating the definitions of initial and final magnetic fields, as well as the implications of the coil's orientation in relation to the magnetic field. There is an emphasis on careful reading of the problem statement to extract necessary values.

matt72lsu
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Homework Statement



The area of a 100 turn coil oriented with its plane perpendicular to a 0.28 T magnetic field is 4.3×10−2 m^2.
Find the average induced emf in this coil if the magnetic field reverses its direction in 0.36 s.

Homework Equations



E = -N (flux - flux initial)/(t-to)

The Attempt at a Solution


I'm actually not even sure I am using the correct equation. It is the only one I see that uses N. But I'm not sure how I would find an initial time and even a flux. Help?
 
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It is the correct formula.
Look up the definition of flux.
Note that the denominator is t - t0. How does "... reverses its direction in 0.36 s" relate to t - t0?
 
ok i found something in which i can use BAcostheta instead of flux... would that work? and i guess t would be 36 and initial would be zero?
 
Correct on both accounts. What is cos(theta) here?
 
is it just 1?
 
also would A stay the same? and how to find B? or do you have to find B initial?
 
is it just 1?
Yes.
matt72lsu said:
also would A stay the same? and how to find B? or do you have to find B initial?
A stays the same. As for B, read the problem carefully; Binitial and Bfinal are both given to you.
 

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