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Does the Length of a Wire Affect the Resistance?

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Introduction

Does the Length of a Wire Affect the Resistance? The aim of this experiment is to find out if the resistance of a piece of wire will change if we vary the length. To do this I will set up a circuit that will include an ammeter, a voltmeter and a piece of wire. The wire will be a different length each time. I think that there will be more resistance on a longer piece of wire - the longer the wire, the higher the resistance. This will happen because of the amount of particles inside the wire that the flow of electrons will need to pass. In turn, there will be more collisions between the electrons and the atoms inside the wire. This is the resistance. A higher resistance will mean more collisions. To succeed, I will need to keep the temperature below a certain level as if the wire gets too hot, the atoms inside the wire will begin to move more and this would affect the resistance. ...read more.

Middle

I decided to use six different values, from 10-60cm long wires. I think this is better as the difference between the highest and lowest is high. If the values had smaller differences, a mistake of 1mm in the measurement could make a huge difference, but it would not make as much difference in the values I am using. To make sure the results are reliable, I will repeat the experiment and work out an average between the two results I have. This is in case of an inaccurate result. Length (cm) Current (A) Voltage (V) Resistance (?) Average (?) 1 2 1 2 10 0.37 0.33 0.25 0.694 0.714 0.704 20 0.26 0.26 0.35 1.346 1.346 1.346 30 0.22 0.22 0.42 1.909 1.909 1.909 40 0.28 0.28 0.71 2.536 2.536 2.536 50 0.3 0.3 0.96 3.2 3.2 3.2 60 0.26 0.27 1 3.846 3.704 3.775 First of all, the resistance did increase as we increased the length of the wire. ...read more.

Conclusion

The results are accurate, as I used very small measurements (cm/mm) and left my results at two decimal places. If I had, for instance, used inches and rounded all of the results to one or no decimal places, the results would be far less precise. I can also tell that they are reliable as the graph makes an almost exact straight line. Had the results been all over the graph with a line of best fit far away from the points, I could not say this. I am very confident that my conclusion is right. This is because of the fact that the points lie on a straight line that is directly proportional to the y-axis. If the length is doubled, the resistance also doubles. To improve the reliability, I could repeat the experiment more than just once. If I had an average of three or four tests, I would have a far more accurate graph. Resistance is measured in ohms. II I IV ...read more.

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