Find out what effect changing the length and thickness of wire has on resistance.

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Resistance coursework

Aim:

The aim of the investigation is to find out what effect changing the length and thickness of wire has on resistance.

Introduction:

Resistance is any obstacle in a circuit that prevents or slows down the flow of electrons. Resistance is measured in ohms (Ω) and the symbol is R. Electricity is conducted through a wire, by free electrons. The number of free electrons depends on the material. The higher the number of free electrons, the better the wire is at conducting electricity and therefore it has less resistance. The free electrons are given energy and as a result move and collide with neighbouring free electrons. When the electrons collide, they lose energy and create heat, which then results in the wire heating up.

Resistance has an inversely proportional relationship with current.

The resistance of a length of wire is calculated by using the ohms law. This is done by measuring the current present in the circuit and the voltage across the wire. These measurements are then applied to the following formula:

To work out resistance this can be rearranged to:

This means that to work out the resistance you divide the voltage by the current. As you increase the current and voltage the resistance will increase too. The graph below shows what happens to the resistance when you increase the amount of amps and the amount of volts going through an ohmic conductor.

In this graph the resistance is increasing at a steady rate. However, if we were using a filament lamp this would not happen. The graph below shows what happens as you increase the number of amps and volts passing through a filament lamp.

As you can see the resistance increases steadily but then at the point marked (X) the resistance starts to increase faster. This is because the wire is beginning to get hot which will increase the resistance.

 

Resistance can be affected by four different factors. These factors are:

  • Temperature

As the temperature increases the resistance increases therefore the current decreases. This is because the higher the temperature the faster the electrons move which cause more collisions. As the temperature decreases the resistance decreases therefore the current increases.

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This means that temperature has an inversely proportional relationship with current which is as follows:

        

  • Type of material

A wire that is good at conducting electricity will have a lower resistance. Therefore copper would be a good material to use as it is a good conductor of electricity and therefore will have less resistance.

  • Thickness (cross-sectional area)

The thinner the wire, the higher it’s resistance. This is because there is not much space for the electrons to pass through and therefore the electrons will ...

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