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What is the RMS value of an AC voltage given by V(t) = V0 sin(ωt)?

Practice Questions

Q1
What is the RMS value of an AC voltage given by V(t) = V0 sin(ωt)?
  1. V0
  2. V0/√2
  3. V0√2
  4. 0

Questions & Step-by-Step Solutions

What is the RMS value of an AC voltage given by V(t) = V0 sin(ωt)?
  • Step 1: Understand that V(t) = V0 sin(ωt) represents an alternating current (AC) voltage, where V0 is the peak voltage.
  • Step 2: The RMS (Root Mean Square) value is a way to express the effective value of an AC voltage.
  • Step 3: The formula for the RMS value of a sinusoidal voltage is V_rms = V0 / √2.
  • Step 4: This means to find the RMS value, you take the peak voltage (V0) and divide it by the square root of 2 (approximately 1.414).
  • Step 5: Therefore, the RMS value of the given AC voltage V(t) = V0 sin(ωt) is V_rms = V0 / √2.
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