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The Effect of Length on the Resistance of the Wire


             R = x L.
             A .
             R = Resistance (Ω).
             = Resistivity (Ω m) .
             L = Length (m) .
             A = Cross Sectional Area (m).
             This equation allows us to predict the actual resistances of our wires successfully (to a degree).
             28 (A = Πr = 6.12x10-8 m).
             40 (A = Πr = 1.26x10-7 m) = 4.9x10-7 Ωm.
             56 (A = Πr = 2.46x10-7 m) .
             So to work out the resistance of each thickness of wire/length, I have to use the equation: 4.9 x 10-8 x 0.1 = Resistivity of constantan .
             6.16 x 10-8 = surface area (A) .
             Certain numbers will have to change for each thickness of wire and the length. .
             I.e. the 0.1 on the top line is the wire length, and the whole button line is the surface area for each of the different wires we will be using.
             I already know that certain factors affect the resistance of my wire that I will be using. These being the material it is made out of, the temperature, the width and length. I will make sure all these factors are the variables (and more) in my test.
             Prediction.
             I predict that the longer the wire the higher the resistance will be, as the electrons will have further to travel. If the wire is longer then the electrons will take longer to push through all of the atoms. By using my background knowledge on this subject, I can predict what the resistances will be, by using the equation in my background knowledge.
             I also predict that the thicker wire will have less resistance, and that the resistance will increase slower than the thin wire when the length of the wire is lengthened.
             Lastly I predict that the voltage will only start to read up to 5v when we reach the longer lengths of wire, this being due to the wires length. I also predict that the graph will have 3 lines looking something like this;.
             Predicted results.
             Here are the predicted results that we got from using the equation in my background knowledge. The ' sign stands for divide, so no confusion can take place.


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