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IB 33: Magnetic Fields

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Introduction

IB 33: Magnetic Fields

By: Nicholas Sudharta

Physics 11

Ibu Sheila

Data Collection______________________________________________________________

Distance (cm)

Averaged Field Strength (gauss)

Uncertainty (±)

8.5

3.1739

0.06660074

8

3.2580

0.08718747

7.5

3.3195

0.10186693

7

3.4419

0.095267

6.5

3.5664

0.07096629

6

3.6786

0.07702821

5.5

3.8244

0.04278036

5

3.8688

0.02282731

4.5

3.8770

0.00607607

4

3.8800

0.00220119

3.5

4.0379

0.05665183

3

4.8100

0.03027302

2.5

4.8521

0.00298729

2

5.8212

0.00120247

1.5

7.6604

0.0510291

1

9.7198

0.00806366

0.5

14.5649

0.00089853

0.1

27.6778

0.0766445

Data Processing______________________________________________________________

Average field strength: image00.png                                    B= Field strength at a distance        

We find the average field strength by using average function in Microsoft Excel.

To find the uncertainty, we use standard deviation or STDEV in Microsoft Excel to the data range in each trial.  

Standard Deviation Formula:image01.png

To graph:image09.png

Graph (including uncertainties):

image20.png

From the graph, my hypothesis is that Field Strength is inversely proportional to Distance.

...read more.

Middle

As from the graph shows, image22.png

To find the order or image03.png from the model formula we log the equation.

As so: image23.png

Next, from that logged model formula we use linear regression to find the value of image03.png.

Firstly, take the existing data and log the values in Microsoft Excel.  

New logged data:

Distance (cm)

Averaged Field Strength (gauss)

0.92941893

0.50159727

0.90308999

0.51295763

0.87506126

0.52107422

0.84509804

0.53679439

0.81291336

0.55222661

0.77815125

0.56568366

0.74036269

0.58256894

0.69897

0.5875737

0.65321251

0.58849348

0.60205999

0.58883553

0.54406804

0.60615536

0.47712125

0.68214361

0.39794001

0.68593146

0.30103

0.76501013

0.17609126

0.8842493

0

0.98765785

-0.30103

1.163308

-1

1.44213154

Secondly graph the data using chart wizard (including a linear trend line)*:

image24.png

*In the graph, we ignore the uncertainties as it does not affect the equation shown on the chart.

Thirdly, use Microsoft Excel’s option of “Display equation on chart” as shown on the graph above. This will result in [y = -0.5114x + 0.9482]

Remembering the logged model formula: image02.png

From the graph we get the value ofimage03.png. The value of image03.png

...read more.

Conclusion

        To evaluate that point, another limitation and missing data of our experiment is that we did not record the earth’s magnetic field at the located experiment. As by doing so, we can compare the value with the theoretical value of the earth’s magnetic field of image14.png and thus find the % error of our experiment.

        An alternative experiment that is aimed to find the relationship of distance from a magnetic source and magnetic field strength is to use a long wire, and having a constant current we alter the distance of the wire and the sensor.

By applying the formula: image15.png. We find the relationship between magnetic field strength (image16.png), and distance of the sensor (image17.png). Using constant values of image18.png, and image19.png, while having a constant or controlled variable of image21.png(current).

References:

Serway and Jewett, “Physics For Scientists And Engineers 6E”.

Owen John & Haese Robert & Haese Sandra & Bruce Mark, “Mathematics for the international student”.

...read more.

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

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