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The relationship between the length and resistance of a wire.

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Introduction

The relationship between the length and resistance of a wire

Aim

For this experiment, I will be finding out the resistance of a wire in which its length is the variable. I will be investigating the process of how much the resistance increases due to the increase in the size of the resistor (the wire).

Investigation

Resistance is the property of an electrical conductor, to work against the flow of the current and change some of the electrical energy into heat (Taken from “The Oxford mini reference for science”) The amount of resistance in an electric circuit determines the amount of current flowing in the circuit for any given voltage applied to the circuit, according to Ohm's law. The unit of resistance is an ohm and resistance is measured in amperes. The abbreviation for electronic resistance is “R”, and the symbol for ohms in electronic circuits is Ω.

To find the value of resistance, we use the equation:

Resistance = Voltage / Current

The resistance of an object is determined by the substance of the material, the amount of particles it has to pass through. The temperature can also change the resistance of the resistor; the temperature affects the amount of energy in particles of materials.

...read more.

Middle

Length of wire (mm)

Voltage across wire (volts)

Current through wire (amps)

Resistance (Ω)

200mm

3.00 V

4.63 A

0.65 Ω

300mm

3.00 V

3.04 A

0.99 Ω

400mm

3.00 V

2.36 A

1.27 Ω

500mm

3.00 V

1.86 A

1.61 Ω

600mm

3.00 V

1.58A

1.90 Ω

700mm

3.00 V

1.37 A

2.19 Ω

800mm

3.00 V

1.18 A

2.54 Ω

2nd set of results

Length of wire (mm)

Voltage across wire (volts)

Current through wire (amps)

Resistance (Ω)

200mm

3.00 V

4.67 A

0.64 Ω

300mm

3.00 V

3.03 A

0.99 Ω

400mm

3.00 V

2.36 A

1.27 Ω

500mm

3.00 V

1.86 A

1.61 Ω

600mm

3.00 V

1.57 A

1.91 Ω

700mm

3.00 V

1.37 A

2.19 Ω

800mm

3.00 V

1.18 A

2.54 Ω

3rd set of results

Length of wire (mm)

...read more.

Conclusion

If I were to make improvements on the experiment, I would have tried to make the wire lengths as accurate as possible, although in this experiment there were no extremely odd results.

An experiment that I could have done to make sure that the experiment fairer would have been to keep the resistor under a constant temperature. The circuit would be the same, but the resistor would be under a temperature so that the resistivity of the wire was kept the same. Possibly under water the temperature would have been the same.

The reason this would make the experiment fairer would be because there would be no slant at the end of the graph. Without a constant temperature, there is more resistance if the temperature rises, because to atoms with kinetic energy.

I have made my experiment accurate, by turning the power pack off while changing the length of the resistor, to stop the resistor heating up and causing more resistance.

I have made my experiment reliable, by doing the experiment several times, and averaging my results emitting any anomalies.

For my conclusion, I have found out that the resistance and the voltage are the same if the current is kept the same and that the resistance and the voltage are in proportion with the length of the wire.

Jack Cummins 10LB

...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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