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# Investigating the induced emf with the number of windings and different heights

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Introduction

Investigating the induced emf by changing the number of windings

Introduction and design

This investigation is based on Faraday’s experiments on electromagnetic induction. What we want to investigate is to see if there are any connections between the number of windings and the induced emf. In Faraday’s experiment, he concluded that a changing magnetic field can induce an emf.

A hypothesis is that the coils of wire have a constant magnetic field. If we than increase the coils then we will get a stronger magnetic field. So, if we double the number of windings on the coil, we should get a magnetic field with a strength doubled. So the induced current and emf should also be doubled with a doubled magnetic field. Also, the height will influence the change in magnetic flux when it enter the fields and the proposal would be an increase in height will increase the emf

So the research question would be: “investigating the induced emf in with the number of windings  and different heights”

The variables in this experiment are height, acceleration, voltage (emf), current, time and magnetic field.

• The dependent variables are the time, voltage (emf) and current.

Middle Graph 9: Used a coil of 600 windings with a height of 33 cm  Graph 10: Used a coil of 600 windings with a height of 33 cm  Graph 11: Used a coil of 1200 windings with a height of 33 cm  Graph 12: Used a coil of 1200 windings with a height of 33 cm  Here comes a table with the maximum and minimum voltage on every graphs:

 Height of 23 cm 1
 2

Number of windings (loops)    0

0,000

0,000

0,000

0,000

300

0,488

-0,566

0,488

-0,586

600

0,957

-1,113

0,942

-1,084

1200

1,939

-2,017

1,953

-2,026

 Height of 33 cm 1
 2

Conclusion 0,16V

In graph 13, we see the graph is fitting really well with a correlation of 0,9987 which is almost perfect. This shows the function is fitting good and it is proportional to each other.

In graph 14, the graph does fit well to a certain extent with a correlation of 0,9838. This function also shows the proportional relationship between the variables.

Conclusion and evaluation

To conclude the experiment, we have seen how a magnet can induce an emf in different coils of windings. The results tell me that the number if windings on the coils is proportional with the induced emf.  , is the induced emf and N is the number of windings

We also find out that the height of the magnet is proportional to the induced emf. , is the induced emf and H is the height of the magnet.

This experiment has many ways for improvements:

• The interval which the magnet drops through the coil is short, which make it less accurate. Maybe we could lengthen the magnet or coil to get a longer time interval
• We should collect more sufficient points for the height, which is necessary to draw a accurate graph
• It could have been some error while dropping the magnet, it may have touched the coil on its way through it.
• Maybe use a mechanical device to drop the magnet to get a more accurate height.

This student written piece of work is one of many that can be found in our International Baccalaureate Physics section.

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