Resistivity (AQA A Level Physics): Revision Note

Exam code: 7408

Katie M

Written by: Katie M

Reviewed by: Caroline Carroll

Updated on

Resistivity

  • All materials have some resistance to the flow of charge

  • As free electrons move through a metal wire, they collide with ions which get in their way

  • As a result, they transfer some, or all, of their kinetic energy on collision, which causes electrical heating

Electrons and resistance, downloadable AS & A Level Physics revision notes

Free electrons collide with ions which resist their flow

 

  • Since current is the flow of charge, the ions resisting their flow causes resistance

  • Resistance depends on the length of the wire, the cross-sectional area through which the current is passing and the resistivity of the material

Resistivity equation, downloadable AS & A Level Physics revision notes

Electrical resistance equation

 

  • The resistivity equation shows that:

    • The longer the wire, the greater its resistance

    • The thicker the wire, the smaller its resistance

Factors affecting resistance, downloadable AS & A Level Physics revision notes

The length and width of the wire affect its resistance

 

  • Resistivity is a property that describes the extent to which a material opposes the flow of electric current through it

  • It is a property of the material, and is dependent on temperature

  • Resistivity is measured in Ω m

Resistivity of some materials at room temperature

Table of resistivity of materials at room temperature, downloadable AS & A Level Physics revision notes
  • The higher the resistivity of a material, the higher its resistance

    • This is why copper, with its relatively low resistivity at room temperature, is used for electrical wires — current flows through it very easily

    • Insulators have such a high resistivity that virtually no current will flow through them

 

Worked Example

Two electrically-conducting cylinders made from copper and aluminium respectively.

Their dimensions are shown below.

WE - resistivity question image, downloadable AS & A Level Physics revision notes

Copper resistivity = 1.7 × 10-8 Ω m

Aluminium resistivity = 2.6 × 10-8 Ω m

Which cylinder is the better conductor?

Answer:

Worked example - resistivity (2), downloadable AS & A Level Physics revision notes

Examiner Tips and Tricks

  • You won’t need to memorise the value of the resistivity of any material, these will be given in the exam question.

  • Remember if the cross-sectional area is a circle e.g. in a wire, it is proportional to the diameter squared. This means if the diameter doubles, the area quadruples causing the resistance to drop by a quarter.

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Katie M

Author: Katie M

Expertise: Curriculum Expert

Katie has always been passionate about the sciences, and completed a degree in Astrophysics at Sheffield University. She decided that she wanted to inspire other young people, so moved to Bristol to complete a PGCE in Secondary Science. She particularly loves creating fun and absorbing materials to help students achieve their exam potential.

Caroline Carroll

Reviewer: Caroline Carroll

Expertise: Head of Content Delivery

Caroline graduated from the University of Nottingham with a degree in Chemistry and Molecular Physics. She spent several years working as an Industrial Chemist in the automotive industry before retraining to teach. Caroline has over 12 years of experience teaching GCSE and A-level chemistry and physics. She is passionate about delivering high-quality resources to help students achieve their full potential.