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In an AC circuit, if the current is given by I(t) = I0 cos(ωt), what is the RMS

Practice Questions

Q1
In an AC circuit, if the current is given by I(t) = I0 cos(ωt), what is the RMS current? (2021)
  1. I0/√2
  2. I0
  3. 2I0
  4. I0/2

Questions & Step-by-Step Solutions

In an AC circuit, if the current is given by I(t) = I0 cos(ωt), what is the RMS current? (2021)
  • Step 1: Understand that I(t) = I0 cos(ωt) represents the current in an AC circuit, where I0 is the maximum current.
  • Step 2: Know that RMS stands for Root Mean Square, which is a way to calculate the effective value of an AC current.
  • Step 3: Remember that the RMS value of a cosine function is calculated using the formula: RMS = I0 / √2.
  • Step 4: Apply the formula to find the RMS current: RMS current = I0 / √2.
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