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Electric Circuits

Measuring e.m.f. and internal resistance, and cells in combination

  • 3 things to know
  • Papers 1 and 3

Overview

Recall questions on the experiment, the graph plotted and what its gradient and intercept give, the largest current a cell can deliver, and cells in series and parallel.

What you need to know

Answer each one before you reveal it.

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Numbers

Which graph is plotted to find a cell's electromotive force and internal resistance, and what do its gradient and intercept give?

Numbers

What are the e.m.f. and internal resistance of a cell whose terminal p.d. against current graph has intercept 1.55 V and gradient −0.80 V A⁻¹, why should the external resistance never be reduced to almost zero, and what is the largest current a cell can deliver?

Numbers

What would you observe if a cell of high internal resistance were connected to a lamp of very low resistance?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What experimental arrangement would you use to determine the electromotive force and internal resistance of a cell?

    Model answer

    Connect the cell in series with a variable resistor and an ammeter, with a voltmeter across the cell's terminals, then vary the resistance and record corresponding pairs of current and terminal potential difference.

  2. 2

    Which graph should be plotted from those results?

    Model answer

    Plot the terminal potential difference on the vertical axis against the current on the horizontal axis.

  3. 3

    Why does the graph of terminal potential difference against current have that gradient and that intercept?

    Model answer

    Rearranging ε = V + Ir gives V = ε − rI, which compared with y = mx + c has gradient −r and intercept ε.

  4. 4

    Why should readings in this experiment be taken quickly, with the circuit disconnected between them?

    Model answer

    A sustained current warms the cell and gradually discharges it, so its internal resistance and electromotive force would change during the experiment.

  5. 5

    Why should the external resistance never be reduced to almost zero in this experiment?

    Model answer

    The current would be very large, overheating and damaging the cell and altering its internal resistance, which makes the readings invalid as well as unsafe.

  6. 6

    Why must the voltmeter used have a very high resistance?

    Model answer

    So that it draws negligible current of its own and therefore records the true terminal potential difference of the cell for the current shown by the ammeter.

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