Induced EMF graph of a very small wire moving through a coil

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Homework Help Overview

The discussion revolves around the induced electromotive force (emf) experienced by a small wire moving through a magnetic coil. Participants are exploring the relationship between the motion of the wire and the magnetic flux it encounters, as described by the relevant equations.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the expected shape of the induced emf graph based on the wire's motion through the magnetic field. Questions arise about whether the magnetic flux is changing while the wire is fully within the magnetic field and how this affects the induced emf.

Discussion Status

The conversation reflects a mix of interpretations regarding the behavior of magnetic flux and induced emf. Some participants suggest that the magnetic flux remains constant when the wire is moving at a constant velocity, while others question this assumption. There is no explicit consensus, but the dialogue indicates a productive exploration of the concepts involved.

Contextual Notes

Participants are grappling with the implications of the wire's constant velocity and its effect on magnetic flux, which may influence their understanding of induced emf in this scenario.

FelaKuti
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Homework Statement


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Homework Equations



induced emf = - d(magnetic flux)/dt

The Attempt at a Solution


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I believe the graph will start initially curving upwards, because it begins to cut more and more flux lines which lead to an increased induced emf. Once it is "fully" within the magnetic field, it will slope downwards to a negative induced emf as it begins to cut flux lines in the other direction. The peaks will have the same induced emf as the velocity is constant so the rate of change of flux should be equal for entering and leaving the coil. My solution was like this:

fQB4gKI.png


It's wrong, but I can't quite understand.
 
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The loop is small which means it spends some time entirely between the poles of the magnet. While doing this, is the magnetic flux through it changing? If so, how?
 
I guess the magnetic flux isn't changing, because it's moving at a constant velocity. So that would mean no increase/decrease in the rate of change of magnetic flux, so no induced emf?
 
Yup.
 

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