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Electric Circuits

Resistivity and determining it experimentally

  • 2 things to know
  • Papers 1 and 3

Overview

Recall questions on R = ρl/A, the unit of resistivity, and the wire experiment, including why the diameter is measured repeatedly and the current kept low.

What you need to know

Answer each one before you reveal it.

Your recallNot started
Numbers

How does the resistance of a uniform wire depend on its dimensions, and what is the unit of resistivity?

Evaluation

Why should the current be kept low in a resistivity determination, and what is meant by the number density of charge carriers?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    State the equation relating the resistance of a uniform wire to its dimensions:

    Model answer

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

  2. 2

    What is resistivity?

    Model answer

    Resistivity is a property of a material, equal to RA/l, that measures how strongly the material opposes the flow of charge at a given temperature.

  3. 3

    What is the SI unit of resistivity?

    Model answer

    The unit of resistivity is the ohm metre, Ω m.

  4. 4

    How does the unit of resistivity follow from ρ = RA/l?

    Model answer

    The units give Ω × m² divided by m, which simplifies to Ω m.

  5. 5

    Does resistivity depend on the size and shape of a sample?

    Model answer

    No, resistivity is a property of the material at a stated temperature, whereas resistance depends on the sample's length and cross-sectional area as well.

  6. 6

    What happens to the resistance of a wire if its length is doubled but its cross-sectional area is unchanged?

    Model answer

    The resistance doubles, because R is directly proportional to l.

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