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Sensing

Resistivity and conductivity

  • 3 things to know
  • Components 01, 02 and 03

Overview

Recall questions on R = ρL/A and G = σA/L, the units of resistivity and conductivity, σ = 1/ρ, how length and thickness affect resistance, a copper wire's resistance and conductivity, measuring the resistivity of a wire, measuring its diameter and keeping the current small, stretching a wire, and typical resistivities of conductors and insulators.

What you need to know

Answer each one before you reveal it.

Your recallNot started
Key term

Describe how to determine the resistivity of a metal in wire form.

Key term

State the relationship between resistance, resistivity, length and cross-sectional area.

Key term

State the unit of resistivity.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    State the relationship between resistance, resistivity, length and cross-sectional area.

    Model answer

    R = ρL/A, where ρ is the resistivity of the material.

  2. 2

    State the unit of resistivity.

    Model answer

    Resistivity is measured in ohm metres (Ω m).

  3. 3

    State the relationship for conductance in terms of conductivity.

    Model answer

    G = σA/L, where σ is the conductivity of the material.

  4. 4

    State the unit of conductivity.

    Model answer

    Conductivity is measured in siemens per metre (S m⁻¹).

  5. 5

    State the relationship between resistivity and conductivity.

    Model answer

    They are reciprocals of one another, so σ = 1/ρ.

  6. 6

    Explain why a longer wire of the same material and thickness has a greater resistance.

    Model answer

    The charge carriers must travel further and are scattered more times, so a larger potential difference is needed to drive the same current.

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