Find out if the length of a wire affects its electrical resistance and if so, to what extent.

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Aim

  I aim to find out if the length of a wire affects its electrical resistance and if so, to what extent.

Prediction

  I predict that the longer a piece of wire is, the higher its resistance, and the less current it will let through.

  This is because the electrons lose energy trying to get through the rigid structure of the ions in the wire which slows them down through collisions. Therefore, if they are losing energy all the time they are travelling through the wire, the longer the wire, the more energy lost.

Apparatus

5 wires

Ammeter

Voltmeter

Power pack

2 Crocodile clips

1m of nicrome wire

Metre rule

Method

  Set up the apparatus as in the diagram, with the voltmeter in parallel with the variable length of wire, and the ammeter in series with it.

Place one crocodile clip at the end of the nicrome wire, and the other exactly 10cm (as measured by the metre rule) down the wire.

 Turn the power pack on at 3v and record measurements from the voltmeter and ammeter.

   Repeat this with 20cm, 30cm, 40cm, 50cm, 60cm, 70cm, 80cm, 90cm, and 1m of wire, and record the reading for amps and volts for each length of wire. Do each length 3 times, to give 3 independent sets of results. The reason for repeating the experiment is to make sure none of the results are wrong or seem out of place, and to make sure no mistakes are made in setting up the experiment. For each length of wire, make sure the power pack is switched to 3v, all the other equipment and wires are the same for each reading, to ensure a consistent and fair test.

   To work out the resistance in ohms, divide the volts reading by the amps reading each time using Ohm’s Law,

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Results

1.

Wire length (cm)        Volts        Amperes        Ohms (to 2 decimal places)

10                        0.77        1.12                0.69

20                        0.95        0.66                1.44

30                        1.08        0.50                2.16

40                        1.15        0.42                2.74

50                        1.22        0.35                3.49

60                        1.25        0.30                4.16

70                        1.29        0.27                4.70

80                        1.32        0.24                5.50

90                        1.35        0.22                6.14

100                          1.36        0.20                6.80

2.

Wire length (cm)        Volts        Amperes        Ohms (to 2 decimal places)

10                        0.76        1.08                0.70

20                        0.89        0.59                1.51

30                        0.93        0.45                2.07

40                        1.05        0.38                2.76

50                        1.12        0.33                3.39

60                        1.18        0.29                4.07

70                        1.23        0.26                4.73

80                        1.25        0.23                5.43

90                        1.27        0.21                6.05

100                        1.31        0.19                6.89

3.

Wire length (cm)        Volts        Amperes        Ohms (to 2 decimal places)

10                        0.77        1.08                0.71

20                        0.94        0.69                1.36

30                        1.08        0.54                2.00

40                        1.16        0.42                2.76

50                        1.22        0.36                3.38

60                        1.27        0.31                4.10

70                        1.28        0.27                4.74

80                        1.31        0.24                5.46

90                        1.33        0.22                6.05

100                        1.36        0.20                6.80

From these results, I can see, that my original hypothesis was correct, because as the length of wire got longer, the volts reading increased, the amps reading decreased, and ...

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