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Option A: Alternating Currents

Rms values, mean power and UK mains

  • 3 things to know
  • A2 Unit 4 Section B

Overview

Converting between peak and rms current and voltage, mean power in a resistor from rms and peak values, and the frequency, rms and peak voltage of the UK mains.

What you need to know

Answer each one before you reveal it.

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Key term

State the equation relating rms current to peak current.

Numbers

Calculate the rms current when peak current = 7.5 A.

Key term

State the equation relating rms voltage to peak voltage.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    State the equation relating rms current to peak current.

    Model answer

    Iᵣₘₛ = I₀/√2.

  2. 2

    Calculate the rms current when peak current = 7.5 A.

    Model answer

    Rms current = 7.5 ÷ 1.41421 = 5.3 A.

  3. 3

    State the equation relating rms voltage to peak voltage.

    Model answer

    Vᵣₘₛ = V₀/√2.

  4. 4

    Calculate the rms voltage when peak voltage = 187 V.

    Model answer

    Rms voltage = 187 ÷ 1.41421 = 132 V.

  5. 5

    State the equations for mean power dissipated in a resistor using rms values.

    Model answer

    P = Iᵣₘₛ²R or P = Vᵣₘₛ²/R.

  6. 6

    Why can the standard DC power equations be used directly with rms values?

    Model answer

    Because rms values are defined as the equivalent DC values that dissipate the same power in a resistor.

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