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To investigate how the length and area of wire affects its resistance.

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Introduction

To investigate how the length and area of wire affects its resistance. Abstract: Aim: To investigate how the length and the area of a wire affects its resistance. Apparatus: 1 200cm ruler, 10 leads, 1 battery pack, 5 pieces of constantan wire 210cm long, 1 amp metre, 1 Volt metre, tape, scissors. Method: First we stretched the wire tight and taped it to the 200cm ruler with equal amounts of wire hanging over each end of the ruler then attach the crocodile clips at points 0cm and 200cm on the ruler, then we put our ammeter in our circuit and our voltmeter then we took each set of results three times to take an overall average so that we can try and eliminate experimental errors. Variables: The length of the wire, the area of the wire how much voltage is passed through the wire, Types of wire? Prediction: For length of wire, I predict that the longer the wire the bigger the resistance. ...read more.

Middle

6.) Switch of power pack and move crocodile clips down 20cm, so the length of the wire is 180cm. 7.) Control current to 0.4A and take voltage. 8.) Control current again to 0.5A and take voltage. 9.) Repeat with the following lengths; 160cm, 140cm, 120cm, 100cm, 80cm, and 60cm. 10.) Repeat all of this using same apparatus with wires of different thicknesses. 11.) Work out thickness using micrometer and formula pie*radius�. 12.) Calculate resistance-using formula. R(?)=V/I Constantan wire, diameter 0.234mm, area = pie*r� = 0.043mm� Length/cm Current at 0.4A Current at 0.3A Average resistance/? Voltage/V Resistance/? Voltage/V Resistance/? 200 9.80 24.50 7.30 24.30 24.40 180 8.75 21.88 6.56 21.87 21.88 160 7.82 19.55 5.90 19.60 19.58 140 6.79 16.98 5.09 16.97 16.58 120 5.80 14.50 4.42 14.73 14.62 100 4.86 12.15 3.63 12.10 12.30 80 3.93 9.83 2.94 9.80 9.82 60 2.96 7.40 2.21 7.37 7.39 Length/cm Current at 0.4A Current at 0.5A Average resistance/? ...read more.

Conclusion

Voltage/V Resistance/? Voltage/V Resistance/? 200 3.60 9.00 4.49 8.98 8.99 180 3.22 8.05 4.08 8.16 8.12 160 2.86 7.16 3.58 7.16 7.16 140 2.51 6.28 3.16 6.32 6.30 120 2.15 5.38 2.71 5.42 5.40 100 1.80 4.50 2.27 4.54 4.52 80 1.45 3.63 1.79 3.58 3.60 60 1.11 2.78 1.36 2.72 2.75 Constantan wire, diameter 0.457mm, area= pie*r�= 0.16mm� Length/cm Current at 0.4A Current at 0.5A Average resistance/? Voltage/V Resistance/? Voltage/V Resistance/? 200 3.60 9.00 4.49 8.98 8.99 180 3.22 8.05 4.08 8.16 8.12 160 2.86 7.16 3.58 7.16 7.16 140 2.51 6.28 3.16 6.32 6.30 120 2.15 5.38 2.71 5.42 5.40 100 1.80 4.50 2.27 4.54 4.52 80 1.45 3.63 1.79 3.58 3.60 60 1.11 2.78 1.36 2.72 2.75 Length/cm Current at 0.4A Current at 0.5A Average resistance/? Voltage/V Resistance/? Voltage/V Resistance/? 200 2.50 6.25 3.09 6.18 6.22 180 2.26 5.65 2.79 5.58 5.62 160 1.99 4.98 2.47 4.94 4.96 140 1.75 4.38 2.17 4.34 4.36 120 1.47 3.68 1.86 3.72 3.70 100 1.24 3.10 1.54 3.08 3.09 80 1.00 2.50 1.25 2.50 2.50 60 0.76 1.90 0.94 1.88 1.89 ...read more.

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