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Electromagnetism

Graphs of current, flux and induced e.m.f.

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

Overview

Recall questions on what a flux-linkage gradient gives, sinusoidal traces and where the e.m.f. peaks or vanishes, a magnet falling through a coil, areas under the graph, and transformer outputs.

What you need to know

Answer each one before you reveal it.

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Key term

The flux linkage through a coil rises at a steady rate. Describe the graph of induced e.m.f. against time.

Key term

Why do the two pulses produced by a magnet falling through a coil have equal areas?

Key term

What physical quantity is given by the area under a graph of induced e.m.f. against time?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What does the gradient of a graph of flux linkage against time tell you?

    Model answer

    The gradient gives the rate of change of flux linkage, and the induced e.m.f. is equal in magnitude to that gradient and opposite in sign.

  2. 2

    The flux linkage through a coil rises at a steady rate. Describe the graph of induced e.m.f. against time.

    Model answer

    The induced e.m.f. is a constant negative value for as long as the flux linkage is rising, so the graph is a horizontal line below the time axis.

  3. 3

    If the flux linkage through a rotating coil varies sinusoidally with time, describe the induced e.m.f.

    Model answer

    The induced e.m.f. also varies sinusoidally at the same frequency but is a quarter of a cycle out of step with the flux linkage.

  4. 4

    At which points on a sinusoidal flux linkage graph is the induced e.m.f. greatest?

    Model answer

    The e.m.f. is greatest where the graph is steepest, which is where the flux linkage passes through zero.

  5. 5

    At which points on a sinusoidal flux linkage graph is the induced e.m.f. zero?

    Model answer

    The e.m.f. is zero at the peaks and troughs of the flux linkage, where the gradient is momentarily zero.

  6. 6

    A magnet is dropped through a coil connected to a data logger. Describe the shape of the e.m.f.-time trace.

    Model answer

    There are two pulses of opposite sign, one as the magnet enters and one as it leaves, and the second is taller and narrower than the first.

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