Total induced emf at different speeds

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Homework Help Overview

The discussion revolves around the concept of induced electromotive force (emf) in a coil as it moves towards a magnet at varying speeds. The original poster questions whether the total induced emf will be the same when moving the coil at different speeds, specifically in relation to the integrals of the induced voltage over time.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the relationship between the speed of the coil's movement and the induced emf, questioning how the rate of change of magnetic flux relates to the speed. There is discussion about whether moving the coil faster affects the total induced emf and how the time of movement plays a role.

Discussion Status

Participants are actively engaging with the concepts of induced emf and magnetic flux. Some have provided insights into how the speed of movement may influence the induced emf, while others are considering the implications of the total time of movement on the overall induced emf. There is no explicit consensus yet, but the discussion is progressing with various interpretations being explored.

Contextual Notes

The original poster is conducting a lab experiment, which may impose certain constraints or specific conditions that are not fully detailed in the discussion. The nature of the homework assignment may also influence the assumptions being made about the relationship between speed and induced emf.

cryptoguy
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Homework Statement


Suppose you have a coil that is a certain distance from a magnet. Now you move the coil towards the magnet (until it is on top of the magnet) at a certain speed. Then you do the same thing only faster. Will the total induced emf be the same for both tries? Aka should the integrals of the two V_induced vs t plots be the same magnitude, opposite sign?


Homework Equations


Faraday's...


The Attempt at a Solution


I'm not at all sure... I'm doing a lab on this and be got different values for the total induced emf, but I have a hunch that it should be the same, can't really explain it though.
Thanks for any hints.
 
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Faraday's law basically states that the induced emf is equal to the rate of change of the magnetic flux with respect to time. Now, if you move the magnetic through the coil faster, does the rate of change of magnetic flux with respect to time remain unchanged, increase or decrease?
 
if you move it faster... sounds like it'll increase
 
cryptoguy said:
if you move it faster... sounds like it'll increase
Correct! So what would happen to the induced emf?
 
it would... also increase? Yet if you move the coil faster towards the magnet, the instantaneous induced emf does increase, but the total time of movement decreases.
 

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