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# Find out whether the length of a wire will affect the resistance.

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Introduction

Factors that Affect the Length of a Wire I am trying to find out whether the length of a wire will affect the resistance. I predict that the longer the piece of wire, the greater the resistance will be. I think this because of the idea of the free moving electrons being resisted by the atoms in the wire. In a longer piece of wire, there would be more atoms for the electrons to collide with and so the resistance would be greater. The relationship between the wire length and the resistance should be directly proportional. This is because in a wire twice the length of another wire there would be double the amount of atoms causing the resistance. An example of this would be in a 20cm wire. The electrons would have to travel double to distance if it has to go through a 10cm wire. This would in turn double the amount of atoms that the electrons would collide with and then resistance would double. ...read more.

Middle

0 0.00 0.00 0.00 0.00 0.00 10 0.50 0.44 0.43 0.42 0.84 20 0.50 0.68 0.70 0.69 1.38 30 0.50 1.05 1.04 1.05 2.10 40 0.50 1.38 1.38 1.38 2.76 50 0.50 1.68 1.69 1.69 3.38 60 0.50 2.00 1.99 2.00 4.00 70 0.50 2.32 2.30 2.31 4.62 80 0.50 2.67 2.68 2.68 5.36 90 0.50 2.96 2.95 2.96 5.92 100 0.50 3.30 3.31 3.31 6.62 From my results, I can see that the resistance is proportional to the length, meaning that when one doubles, so does the other. An example would be at a wire length of 50 cm, the resistance is 3.38Ohms and at 100 cm it is 6.63Ohms. This is almost exactly double the size. The results from the graph give a clear indication of how the resistance compares to the wire length. When the length of the wire increases, the resistance also increases. The theory behind this is explained in the prediction. In any given metal wire, there are a number of atoms and free moving electrons. ...read more.

Conclusion

The results have shown that this is true. The line of best fit clearly shows that the results followed the expected pattern very well, although I had one result which was slightly further away form the line to the others, this may have been because I read the meter wrong, or I did not have the length exactly correct. The rest of the points are very close if not touching the line. This shows how the results were directly proportional through out, as the gradient remained the same. I could improve the reliability of this investigation by: > Repeating the experiment again > Doing the experiment again but with a different thickness of wire > Changing the current to maybe 0.30Ohms or 0.40Ohms, to see if it makes a difference to the theory that when the length increases, so does the resistance > Use a larger range of length, maybe going up to 200cm and seeing whether the resistance will still be proportional to the length In conclusion, I feel my results were fairly reliable, as it proved my prediction and the theory of length been proportional to resistance. ...read more.

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