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Electric and Magnetic Fields

Alternating current, peak and r.m.s. values

  • 2 things to know
  • Papers 1 and 3

Overview

Recall questions on frequency and period of an alternating supply, peak and peak-to-peak values, the r.m.s. definition, and why mains supplies are quoted as r.m.s.

What you need to know

Answer each one before you reveal it.

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Numbers

Why is the r.m.s. value of a sinusoidal current smaller than its peak, and why is the average over a cycle useless?

Numbers

Why are mains supplies quoted using r.m.s. rather than peak values?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What is an alternating current?

    Model answer

    It is a current whose direction and magnitude vary periodically with time, usually following a sinusoidal pattern.

  2. 2

    What is meant by the frequency of an alternating supply?

    Model answer

    It is the number of complete cycles completed each second, measured in hertz.

  3. 3

    What is meant by the period of an alternating supply?

    Model answer

    It is the time taken for one complete cycle, and it equals 1/f.

  4. 4

    What is meant by the peak value of an alternating current?

    Model answer

    It is the maximum value the current reaches during a cycle, measured from zero.

  5. 5

    What is the peak-to-peak value and how does it relate to the peak value?

    Model answer

    It is the difference between the maximum and minimum values in a cycle, and it is twice the peak value.

  6. 6

    What is meant by the root-mean-square value of an alternating current?

    Model answer

    It is the value of the steady direct current that would dissipate energy in a resistor at the same average rate as the alternating current.

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