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In an AC circuit, if the voltage is V(t) = 120 sin(ωt), what is the RMS voltage?

Practice Questions

Q1
In an AC circuit, if the voltage is V(t) = 120 sin(ωt), what is the RMS voltage? (2017)
  1. 120 V
  2. 60 V
  3. 84.85 V
  4. 100 V

Questions & Step-by-Step Solutions

In an AC circuit, if the voltage is V(t) = 120 sin(ωt), what is the RMS voltage? (2017)
  • Step 1: Identify the peak voltage from the given voltage function V(t) = 120 sin(ωt). The peak voltage (V_peak) is 120 volts.
  • Step 2: Understand that the RMS (Root Mean Square) voltage can be calculated using the formula: V_rms = V_peak / √2.
  • Step 3: Substitute the peak voltage into the formula: V_rms = 120 / √2.
  • Step 4: Calculate the value of √2, which is approximately 1.414.
  • Step 5: Divide 120 by 1.414 to find the RMS voltage: V_rms ≈ 84.85 volts.
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