Relationship between emf and magnetic field strength

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Homework Help Overview

The discussion revolves around the relationship between electromotive force (emf) and magnetic field strength, specifically in the context of a problem involving a coil and Faraday's law of induction.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the relationship between emf and magnetic field strength, questioning the assumptions about motion and the application of Faraday's law. There is a discussion about whether emf is directly related to magnetic field strength or to the rate of change of the magnetic field.

Discussion Status

The discussion is active, with participants providing guidance on the relevance of motion in the problem and the application of Faraday's law. There is an exploration of different interpretations regarding the relationship between emf and magnetic field strength.

Contextual Notes

Participants note that the coil is not moving, which affects the applicability of motional emf in this scenario. There is also a focus on understanding the implications of magnetic flux and its relationship to emf.

mingee kim
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Homework Statement


See image below.

Homework Equations


motional emf = induced voltage = B L v

The Attempt at a Solution


I thought the answer would be A since there's a direct relationship between EMF and magnetic field strength. The answer is D.
 

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Welcome to PF!

You do not have any motional emf in this problem since the coil is not moving (v = 0).

Try using the most general form of Faraday's law of induction.
 
TSny said:
Welcome to PF!

You do not have any motional emf in this problem since the coil is not moving (v = 0).

Try using the most general form of Faraday's law of induction.
Doesn't Faraday's law of induction say the same thing? that emf is related to the rate change of magnetic flux? and magnetic flux = BA cos theta

so the emf is related to the magnetic field strength?
 
mingee kim said:
Doesn't Faraday's law of induction say the same thing?
I'm not sure what you mean by the "same thing" here.

that emf is related to the rate change of magnetic flux? and magnetic flux = BA cos theta
Yes, good.

so the emf is related to the magnetic field strength?
Would it be more appropriate to say that emf is related to the rate of change of B?
 
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mingee kim said:
Doesn't Faraday's law of induction say the same thing? that emf is related to the rate change of magnetic flux? and magnetic flux = BA cos theta

so the emf is related to the magnetic field strength?
TSny said:
ropriate to say that emf is related to the rate of change of B?
Ahh, it makes sense now. Thank you!
 

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