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Resistance

Resistivity, temperature and superconductivity

  • 3 things to know
  • AS Unit 2

Overview

Recall questions on Resistivity, temperature and superconductivity.

What you need to know

Answer each one before you reveal it.

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Key term

State the equation relating resistance to resistivity.

Key term

What is the SI unit of resistivity?

Numbers

Calculate the resistance of a copper wire 2.5 m long of cross-sectional area 1.5 × 10⁻⁶ m², taking ρ as 1.7 × 10⁻⁸ Ω m.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    State the equation relating resistance to resistivity.

    Model answer

    R = ρl/A, where ρ is the resistivity, l is the length and A is the cross-sectional area.

  2. 2

    What is the SI unit of resistivity?

    Model answer

    The ohm metre, Ω m.

  3. 3

    Why is resistivity a property of a material rather than of a particular conductor?

    Model answer

    It relates resistance to the length and cross-sectional area, so it is the same for any sample of the material at that temperature.

  4. 4

    Calculate the resistance of a copper wire 2.5 m long of cross-sectional area 1.5 × 10⁻⁶ m², taking ρ as 1.7 × 10⁻⁸ Ω m.

    Model answer

    R = ρl/A = 1.7 × 10⁻⁸ × 2.5 ÷ 1.5 × 10⁻⁶ = 2.8 × 10⁻² Ω.

  5. 5

    Explain, in terms of electrons and ions, why a metal has electrical resistance.

    Model answer

    Free electrons drifting through the metal collide with the vibrating positive ions of the lattice, which impedes their motion.

  6. 6

    Why does the resistance of a metal increase with temperature?

    Model answer

    The ions vibrate with greater amplitude, so the free electrons collide with them more frequently and lose energy more often.

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