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# An investigation into the relationship between the resistance of a wire and its diameter and length.

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Introduction

An investigation into the relationship between the resistance of a wire and its diameter and length.

Introduction

In this investigation I hope to see whether there is a relationship between the thickness of a wire and its length with the resistance in which it produces. First of all, what is resistance?

Resistance is calculated as R=V/I

Where R is resistance, V = Potential Difference (Voltage) and I = Current (Amount of charge flowing per second)

Resistance is the property of a conductor that restricts the flow of electricity through it, this is measure in  (Ohms) This Resistance can be because of many things such as the nature of the material, its temperature, dimensions, and thermal properties; degree of impurity; the nature and state of illumination of the surface; and the frequency and magnitude of the current. In my investigation I am to look at two of these sets of things, length of wire and width. The ideas are;

Length: As the length increases so will the resistance

Width: As the width increases so will the resistance

Pre-test

Middle

2.20

25

1.83

0.68

1.88

0.69

1.83

0.67

1.85

0.68

2.72

30

1.89

0.58

1.94

0.60

1.85

0.58

1.89

0.59

3.23

35

1.98

0.55

1.98

0.55

1.94

0.53

1.97

0.54

3.62

40

1.96

0.46

1.90

0.48

1.98

0.47

1.95

0.47

4.14

 Wire 26 SWG Width 0.45mm Length of wire 1st test 2nd test 3rd test Average Resistance Cm V A V A V A V A Ω 10 1.19 2.05 1.20 2.02 1.14 2.07 1.18 2.05 0.57 15 1.41 1.48 1.37 1.42 1.41 1.48 1.40 1.46 0.96 20 1.52 1.21 1.44 1.17 1.45 1.20 1.47 1.19 1.23 25 1.59 1.00 1.59 1.00 1.63 1.00 1.60 1.00 1.60 30 1.69 0.89 1.69 0.86 1.71 0.86 1.70 0.87 1.95 35 1.79 0.72 1.74 0.75 1.72 0.66 1.75 0.71 2.46 40 1.79 0.68 1.75 0.62 1.77 0.68 1.77 0.66 2.68
 Wire 24 SWG Width 0.55mm Length of wire

Conclusion

Evaluation

Overall I think the experiment was a success and gave me the results I needed to produce a good and conclusive analysis and final conclusion, although they may not of been overall 100% correct or accurate. This can be seen from the graph, as in theory it should have been a straight line. This could be because of a matter of things including;

• Temperature changes in wire (this can severely disrupt resistance patterns)
• Dubious equipment

My 0.30mm thick wire was clearly my best investigation, with the nearest to a straight line of all of them, which could be surprising as the smaller ones would be expected to be affected by heat more.

Even though I received these slight discrepancies I feel the investigation was an overall success.

If I were to do it again, I may look at furthering my investigation and only concentrating on widths. I may also go towards using better quality wire and testing in more controlled conditions to try and eliminate the severity of effect of heat on investigation.

This student written piece of work is one of many that can be found in our GCSE Electricity and Magnetism section.

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