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# An experiment to investigate how the length of a wire affects its resistance.

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Introduction

## An Experiment to investigate how the Length of a Wire affects its Resistance

Aim: This experiment will show us varying the length of a piece of wire will affect the resistance of the wire.

Introduction: Using Ohms law (V = I x R), we will calculate the resistance in a wire. Our only variable will be the length of the wire, because the thickness, temperature or type of wire will give us inaccurate results. So, to keep this fair, we will only alter the length. We will measure the resistance by taking readings from a Voltmeter and an Ammeter and using them to calculate the resistance.

Background Knowledge: Resistance in a wire will depend on many different factors. One of which that is important is the thickness of the wire.

Preliminary Experiment:

A computer with ‘Scientific Investigator’ installed.

Preliminary Method

...read more.

Middle

1.38

0.25

90

1.4

0.23

1.39

0.23

1.39

0.23

1.393

0.23

100

1.4

0.21

1.4

0.2

1.4

0.21

1.4

0.206

Preliminary Calculations: To calculate resistance, we take V (Voltage) and divide by I (Current) to give the resistance in Ohms Ω.

 Length of wire (cm) Resistance (Ohms Ω) 10 0.933 20 1.515 30 2.079 40 2.835 50 3.49 60 4.058 70 4.857 80 5.52 90 6.057 100 6.796

Prediction: This prediction is much the same as the preliminary one. As the length of the wire increases, the resistance will also increase. Also,  for 0cm the resistance should be 0, but I think that it will not work like this as there will always be voltage and current being measured, however I expect it to be less than the 10cm reading.

Equipment:

Ammeter – 0-5 Amperes

Voltmeter – 0-5 Volts

Wires – Insulated

Bare wire – 0.37mm thick, length of 100cm

Power supply – 6 volts

Two Crocodile Clips (labelled X and Y on diagram)

1m Ruler

Method/Fair Test: To keep this test fair, we will keep the temperature constant and use the same equipment throughout.

...read more.

Conclusion

1.126

30

2.88

0.9

2.96

0.95

2.82

0.95

2.707

0.923

40

3.25

0.78

3.25

0.73

3.17

0.73

3.223

0.753

50

3.47

0.67

3.37

0.66

2.47

0.66

3.336

0.646

60

3.66

0.59

3.56

0.58

3.52

0.58

3.58

0.576

70

3.8

0.5

3.68

0.52

3.64

0.52

3.706

0.51

80

3.94

0.46

3.79

0.46

3.76

0.46

3.88

0.466

90

4.01

0.43

3.86

0.42

3.84

0.42

3.903

0.436

100

4.06

0.4

3.89

0.38

3.89

0.38

3.946

0.386

Calculations: To calculate resistance, we take V (voltage) and divide by I (current)

 Length of wire (cm) Resistance (Ohms Ω) 0 0.397 10 1.2067 20 2.1607 30 2.9328 40 4.2802 50 5.1641 60 6.2153 70 7.2667 80 8.3262 90 8.9518 100 10.2228

Conclusion: In conclusion we have found positive correlation between resistance and wire length, as stated in the theory and my prediction. Another point is that the line of best fit does not pass through the origin, which proves that there is resistance even when there is no wire. I believe that this was caused by the rest of the wire going to the voltmeter, or perhaps some other error.

Roughly, the length of the wire divided by ten gives us the resistance. Although this would not work with other variables altering resistance, we would still see similar correlation.

...read more.

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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