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Option A: Alternating Currents

Frequency, period, peak and rms values

  • 3 things to know
  • Component 3

Overview

Period of an alternating current, frequency of an alternating potential difference and peak value of an alternating current.

What you need to know

Answer each one before you reveal it.

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Key term

Define the period of an alternating current.

Key term

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

Key term

State the relationship between the peak and rms values of a sinusoidal current.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Define the period of an alternating current.

    Model answer

    The period is the time taken for one complete cycle of the alternation, measured in seconds.

  2. 2

    Define the frequency of an alternating potential difference.

    Model answer

    The frequency is the number of complete cycles per second, measured in hertz. It is the reciprocal of the period, f = 1/T.

  3. 3

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

    Model answer

    The peak value is the maximum magnitude the current reaches during a cycle, measured in amperes. It is written I₀.

  4. 4

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

    Model answer

    The rms value is the steady direct current that would dissipate energy in a resistor at the same mean rate as the alternating current. It is the square root of the mean of the squared current.

  5. 5

    State the relationship between the peak and rms values of a sinusoidal current.

    Model answer

    The rms current is I₀/√2, where I₀ is the peak current in A. Equivalently I₀ = √2 Iᵣₘₛ.

  6. 6

    State the relationship between the peak and rms values of a sinusoidal potential difference.

    Model answer

    The rms potential difference is Vᵣₘₛ = V₀/√2, where V₀ is the peak potential difference in V.

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