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

In summary, the induced emf for a small loop moving at a constant velocity between the poles of a magnet will initially increase as it cuts more flux lines, then decrease as it cuts flux lines in the opposite direction. However, if the loop is fully within the magnetic field, there will be no change in magnetic flux and therefore no induced emf.
  • #1
FelaKuti
19
0

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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  • #2
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?
 
  • #3
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?
 
  • #4
Yup.
 

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

1. What is an induced EMF graph?

An induced EMF graph is a graphical representation of the electromotive force (EMF) induced in a wire as it moves through a magnetic field. It shows the relationship between the induced EMF and the velocity of the wire.

2. How is the induced EMF graph of a small wire different from a larger wire?

The induced EMF graph of a small wire will have a steeper slope than that of a larger wire, due to the smaller cross-sectional area of the wire. This means that a smaller wire will produce a higher induced EMF for a given velocity.

3. How does the coil affect the induced EMF graph?

The coil plays a crucial role in the induced EMF graph as it amplifies the EMF induced in the wire. The number of turns in the coil and the strength of the magnetic field within the coil will impact the shape and magnitude of the induced EMF graph.

4. What factors can affect the shape of the induced EMF graph?

The shape of the induced EMF graph can be affected by the velocity of the wire, the strength of the magnetic field, and the orientation of the wire in relation to the field. Additionally, the resistance of the wire and the number of turns in the coil can also impact the shape of the graph.

5. How is the induced EMF graph used in practical applications?

The induced EMF graph is used to understand and predict the behavior of electromagnetic induction in various devices, such as generators and transformers. It also allows scientists to optimize the design and efficiency of these devices by manipulating the variables that affect the induced EMF graph.

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