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This is an investigation to find out how the length of a wire affects a piece of wires resistance. I wanted to investigate this variable as I felt I could achieve accurate results that will help me find a conclusion to my problem

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Introduction

Finding out the resistance of a wire courseworkJuly 2006

Charlotte Green 4109.

This is an investigation to find out how the length of a wire affects a piece of wires resistance. I wanted to investigate this variable as I felt I could achieve accurate results that will help me find a conclusion to my problem.

I will make this experiment a fair test by changing only one variable, this will be the length of the wire. I will keep the rest of the factors the same. E.g.; temperature, of the wire, I will keep this the same throughout as I do not wish for it to affect the experiment. I will also keep the equipment the same throughout the experiment as using different equipment may affect the results obtained.

I will also keep the type of wire the same and just change the length, this is because different types of wire may hold different resistances and are of different thicknesses which will change the resistance results.

I will range my measurements from 10cm to 1meter. I will test each length of wires resistance 3 times to make it a fair test. I will record my results and place them in a table.

Therefore I will vary the length of the wire but will keep the current the same throughout the experiment to show consistency.

My table of results will show length of the wire, amp results and voltage results.

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Middle

6.75

6.75

6.76

6.75

13.5

0.5

60cm

5.67

5.85

5.8

5.77

23.28

0.5

50cm

4.94

4.81

4.85

4.86

22.72

0.5

40cm

3.85

3.89

3.85

3.86

18

0.5

30cm

2.86

2.95

2.88

2.89

13.54

0.5

20cm

1.9

1.95

1.98

1.94

9.02

0.5

10cm

0.97

0.99

0.95

0.97

4.56

A Scatter graph to show the results obtained from the preliminary experiment.image00.png

My preliminary results show a negative correlation, the points do not fit my line of best fit, there is a slight pattern but there are a few random results that do not fit the line. Also this graph shows that the longer the wire the less resistance but I do not believe this so I am going to repeat the experiment.

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Conclusion

Looking at my results I can prove my prediction was correct, the shortest length of wire (10 cm) contains the lowest resistance while the longest length wire (1 meter) shows the most resistance.

This is because as the length of the wire increases, the amount of metal atoms that are inside the wire- for the electrons to pass through to reach the end increases so the electrons will be slowed down, making the journey longer.

The electrons have further to travel in a longer piece of wire so it is harder to reach the other end, therefore more collisions occur which increases the resistance. In a shorter piece of wire there are fewer atoms, making the path for the electrons easier, not making as many collisions, therefore there is less resistance.

This diagram shows a longer piece of wire, containing lots of atoms, and a shorter piece of wire which contains a fewer amount of atoms compared to the longer piece.

Overall I have found this experiment a success, I have collected all my results I needed with ease and it was quite an enjoyable experiment. I am glad my prediction was proved correct and I obtained accurate results. If I could repeat this investigation I would have defiantly kept the variables the same but maybe included an ohm or extended the length of the wire idea.

...read more.

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