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# The aim of this investigation is to see how the length of a wire affects the resistance within it.

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Introduction

Deepak Chandi AT1 PLANNING Aim: The aim of this investigation is to see how the length of a wire affects the resistance within it. Method: The equipment that you would require for this experimentation is; * Power pack * Voltmeter * Ammeter * Normal wire * Constantine wire Here is the step-by-step process of the experiment; 1. I will take the metre ruler with the wire attached to it and at lengths of 10,20,30,40 and 50cm we will connect the wire to the circuit. 2. I will make sure that everything in the circuit is working properly, e.g. that the power pack gives out exactly 6V. 3. I will set up the circuit. 4. I will take the reading of current from the ammeter. 5. I will use the reading I get to work out resistance, which the length of wire has. 6. I will repeat the experiment 5 times for each length of wire so that the overall average reading will be reliable. To work out the resistance I will use the formula: Resistance = Voltage / Current or R = V/I Georg Simon Ohm first discovered this. (1787-1854). He was a German physicist, best known for his research on electrical currents. He was born in Erlangen and educated at the University of Erlangen. From 1833 to 1849, he was director of the Polytechnic Institute of Nuremberg, and from 1852 until his death, he was professor of experimental physics at the University of Munich. ...read more.

Middle

On a graph, this will be shown as a positive correlation. If the length of the wire is 10cm and the resistance is 20? then for 20cm the resistance should be 40?. This is because the length of wire and the time taken are directly proportional. Longer Wire Has More Resistance FIG. 1 + - FLOW OF ELECTRONS FIG. 2 + - FLOW OF ELECTRONS Fig. 1 is the shorter wire. It has less resistance because there isn't as much wire. The current only has to pass a small number of obstacles. Fig. 2 is the long wire. It has twice the amount of resistance because there is twice as much wire. The current has to pass twice as many obstacles. This also shows the two are proportional. Resources: www.aol.co.uk (homework help pages) www.bbc.co.uk (revision pages, previous experiments and ask a teacher) www.aol.com (homework help pages) Diagram: OBTAINING EVIDENCE Results: HERE IS A TABLE TO SHOW MY RESULTS TEST WIRE (cm) VOLTAGE (V) CURRENT (Amps) RESISTANCE (R = V/I) (?) AVERAGE (R=V/I) (?) 1 10 0.20 1.14 0.17 0.19 2 10 0.23 1.13 0.20 3 10 0.21 1.14 0.18 4 10 0.21 1.14 0.18 5 10 0.21 1.15 0.18 1 20 0.38 1.14 0.33 0.31 2 20 0.40 1.13 0.35 3 20 0.32 1.14 0.28 4 20 0.32 1.14 0.31 5 20 0.36 1.13 0.32 1 30 0.46 1.12 0.41 0.41 2 30 0.47 1.12 0.42 3 30 0.47 1.12 0.42 4 30 0.47 1.12 0.42 ...read more.

Conclusion

From the line of best fit, you can see that as the wire length increases, so does resistance within it. As you can see from the triangles I have drawn on my graph the results are proportional. For every 10cm length of wire, the resistance increases by approximately 0.10?. This can be picked out at most points on my graph. The approximation would suggest that my results are not quite perfect. My graph also shows a general trend. As the wire length increases so does resistance within the wire. As expected, the 10cm wire had the least amount of resistance, and the 50cm wire had the most. This can once again be linked in with the science explained: The science that explains my experimentation is longer wire has more resistance. If there are x amount of particles within 10cm of wire, then there are 2x amount of particles in 20cm. If there are more particles there is more chance of them colliding with the electrons to slow them down. This also links in heavily with the Particle Collision Theory. The more particles there are, the more chance there is of them slowing down electrons by colliding with them. Researching further experiments, I have come to the conclusion that my experiment is totally correct. The general trend that I can draw up is: AS THE LENGTH OF WIRE INCREASES, THE RESISTANCE INCREASES IN THE SAME PROPORTION. Looking at this general rule, I know I could predict the results for a similar experiment. This shows I have done what I initially set out to do. ...read more.

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