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Resistance and Resistivity

Resistance, temperature and superconductivity

  • 3 things to know
  • Unit AS 1

Overview

Recall questions on how the resistance of a metal changes with temperature and why, the opposite behaviour of a negative temperature coefficient thermistor and its explanation, the shapes of both graphs, the experiment with a thermistor in a water bath, two uses of a thermistor, and superconductivity with its critical temperature.

What you need to know

Answer each one before you reveal it.

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Key term

How does the resistance of a metallic conductor change as its temperature rises?

Key term

Explain in terms of the structure of a metal why its resistance rises with temperature.

Key term

How does the resistance of a negative temperature coefficient thermistor change as its temperature rises?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    How does the resistance of a metallic conductor change as its temperature rises?

    Model answer

    The resistance increases, and over a moderate range of temperature the increase is very close to linear.

  2. 2

    Explain in terms of the structure of a metal why its resistance rises with temperature.

    Model answer

    Heating makes the positive ions of the lattice vibrate with greater amplitude, so the free electrons collide with them more frequently and lose more energy; the number of free electrons hardly changes, so the drift of charge is impeded and the resistance rises.

  3. 3

    Describe the shape of a graph of resistance against temperature for a metallic conductor.

    Model answer

    It is a line of positive gradient that is nearly straight over the normal range of laboratory temperatures, so the resistance rises steadily as the temperature is raised.

  4. 4

    How does the resistance of a negative temperature coefficient thermistor change as its temperature rises?

    Model answer

    The resistance falls, and it does so steeply and non-linearly, often by a large factor over only a few tens of degrees.

  5. 5

    Explain why the resistance of a negative temperature coefficient thermistor falls as it is heated.

    Model answer

    Heating gives more electrons enough energy to break free and become charge carriers, and this large increase in the number of carriers far outweighs the extra impeding effect of the increased lattice vibration, so the resistance drops.

  6. 6

    Describe the shape of a graph of resistance against temperature for a negative temperature coefficient thermistor.

    Model answer

    It is a falling curve, very steep at low temperatures and flattening out towards higher temperatures, so equal rises in temperature produce progressively smaller falls in resistance.

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