Electrical Engineering › Section I · Sinusoidal waveforms and phasors › Topic I.3

Average and rms values

A changing waveform still has to be summed up by single numbers: how much dc it carries, and how hard it can heat a resistor. The average value answers the first question and the rms value the second, and the rms value is the one printed on every ac nameplate.

In this topic

  • Two numbers for a changing wave
  • The average value
  • Average of half a sine wave
  • A dc level plus an ac wave
  • Worked example: a pulse train
  • The effective, or rms, value
  • The rms value of a sinusoid
  • Worked example: the pulse train's rms
  • Worked example: a heater on 120 V
  • Other shapes, and dc plus ac
  • Common mistakes to avoid
  • Key takeaways

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