Resistance of a Wire

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Aidan Morrison 11C

Resistance of a Wire

 Task

To investigate how the resistance of a wire is affected by the length of the wire.

 Theory 

What is resistance?

 Electricity is conducted through a conductor, in this case wire, by means of free electrons. The number of free electrons depends on the material and more free electrons means a better conductor, i.e. it has less resistance. For example, gold has more free electrons than iron and, as a result, it is a better conductor. The free electrons are given energy and as a result move and collide with neighboring free electrons. This happens across the length of the wire and thus electricity is conducted. Resistance is the result of energy loss as heat. It involves collisions between the free electrons and the fixed particles of the metal, other free electrons and impurities. These collisions convert some of the energy that the free electrons are carrying into heat.

 

How is it measured?

 

The resistance of a length of wire is calculated by measuring the current present in the circuit (in series) and the voltage across the wire (in parallel). These measurements are then applied to this formula:

 

V = I ´ R                     where V = Voltage, I = Current and R = Resistance

 

This can be rearranged to:

 

            R = V

                   I

 

Ohm’s Law

It is also relevant to know of Ohm’s Law, which states that the current through a metallic conductor (e.g. wire) at a constant temperature is proportional to the potential difference (voltage). Therefore V ¸ I is constant. This means that the resistance of a metallic conductor is constant providing that the temperature also remains constant. Furthermore, the resistance of a metal increases as its temperature increases. This is because at higher temperatures, the particles of the conductor are moving around more quickly, thus increasing the likelihood of collisions with the free electrons.

 

Variables

 

Input:

  • Length of wire. *
  • Material of wire.
  • Width of wire.
  • Starting temperature of wire.

 

Output:

  •   Voltage across wire. †
  • Current in circuit. †
  • Temperature of wire.
  • Resistance of wire†

 

The variable marked with a * will be varied, the other input variables will be kept constant. The output variable marked with a † will be measured.

 

Predictions

 

  • The longer the wire, the higher the resistance. This is because the longer the wire, the more times the free electrons will collide with other free electrons, the particles making up the metal, and any impurities in the metal. Therefore, more energy is going to be lost in these collisions (as heat).
  • Furthermore, doubling the length of the wire will result in double the resistance. This is because by doubling the length of the wire one is also doubling the collisions that will occur, thus doubling the amount of energy lost in these collisions.

 The length of the wire will make a difference. This is because when you have a long wire, the electrons have to squeeze together for longer to be able to pass through the wire than they do in order to be able to pass through a short wire. I predict that the longer the wire, the greater the resistance. If I had a 30 cm wire and a 60 cm wire, the 60 cm wire would have a resistance twice that of the 30 cm wire.

Preliminary investigation

The preliminary experiment is to asses if there is a difference in resistance when using a roll of conducting putty. I predict that the length of the putty will effect the resistance due to previous scientific information listed above

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Equipment used

  • Roll of conducting putty made out of graphite
  • Ammeter – This will enable me to measure the amps passing through the circuit at any one time.
  • 30cm Ruler – Has to be used to measure the putty accurately to see if there is a correlation between putty length and its resistance.
  • Voltmeter - This will enable me to measure the Volts passing through the circuit at any one time.
  • Connecting Leads – This will make the circuit full, a very important part of the equipment as the circuit relies on these for the energy to transfer ...

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