How does the length of a wire affect its resistance

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Muna Ali-11K7

GCSE Coursework-Physics Ms Wainaina

How does the length of a wire affect its resistance?

Aim:

The aim of this investigation is to find out how the length of a wire affects its resistance in a circuit.

Introduction:

Resistance is the measure of how hard it is to get a current through a component in a circuit at a particular potential difference. Varying the resistance in the circuit can control the current through a circuit.

The greater the resistance the harder it is for the current to flow and the move energy that is converted to heat and light. Resistance is measured in Ohms (Ω).

Electricity is conducted through a wire, which also means in a wire, by free electrons. The amount and number of these free electrons depend entirely on the more material, meaning that the more free electrons there are, the better the conductor. Electrons that are free are given energy as a result of moving and colliding with other nearby free electrons. This also happens across a length of wire, which means therefore, that electricity is conducted. Resistance is the results of energy loss and heat. This involves the collisions between the free electrons and also the fixed particles of the metal, free electrons and other impurities from the metal. These electrons continually collide, and therefore these collisions result in converting some of this energy that the free electrons are carrying into heat. Therefore, the wire becomes hot.

In 1826, Georg Ohm discovered that:

“The current flowing through a metal wire is proportional to the potential difference across it (providing the temperature remains constant)”.

“Ohms Law” is a simple formula, which can be used to calculate resistance, potential difference (voltage) or current in an electrical circuit.

 

Potential Difference (Volts) = Current (Amps) × Resistance (Ohms).

So in order to calculate resistance the formula is rearranged as below:

Resistance (Ohms) = Potential Difference (Volts) / Current (Amps).

Factors affecting resistance

There are four main factors affecting resistance:

  • As temperature increases, the resistance of a wire increases. This is because as the temperature rises, the particles of the wire move about, therefore the electrons have a higher restriction, resulting in a high resistance.
  • The type of material also affects resistance, as different wires will have different resistances. I will be using copper for this investigation is a good conductor.
  • As cross-sectional area increases, the resistance decreases. This is because the higher the width of the wire, the more space that the electrons will have to move about, resulting in no collisions as there will be a lot of free space.
  • As the length increases of a wire, the resistance increases also.

A variable resistor or rheostat is used to vary the current in a circuit. As the sliding contact moves, it varies the length of wire in the circuit.

Safety

Within this investigation safety measures will have to be addressed:

  • I not touch the wire, as it may be hot as the current flows through it, and may burn the skin.
  • I will not inhale any toxic fumes as the wire burns, as it may be dangerous.
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Fair test

To make this investigation a fair test, and taking all the factors that affect resistance, I will have to keep some factors the same throughout the experiment so that the results will be fair and accurate.

  • Firstly, the temperature will have to be kept the same and constant throughout the investigation, as the temperature increases, the resistance of a wire increases. This is because the temperature the particles of the wire move about, therefore the electrons have a higher restriction, resulting in a high resistance.
  • Secondly, the width of the wire will have to be ...

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