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If the peak voltage of an AC source is 200 V, what is the RMS voltage?

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Question: If the peak voltage of an AC source is 200 V, what is the RMS voltage?

Options:

  1. 100 V
  2. 141.42 V
  3. 200 V
  4. 282.84 V

Correct Answer: 141.42 V

Solution: 

The RMS voltage (V_rms) is given by V_rms = V_peak / √2. Therefore, V_rms = 200 V / √2 = 141.42 V.

If the peak voltage of an AC source is 200 V, what is the RMS voltage?

Practice Questions

Q1
If the peak voltage of an AC source is 200 V, what is the RMS voltage?
  1. 100 V
  2. 141.42 V
  3. 200 V
  4. 282.84 V

Questions & Step-by-Step Solutions

If the peak voltage of an AC source is 200 V, what is the RMS voltage?
Correct Answer: 141.42 V
  • Step 1: Understand that the peak voltage (V_peak) is the maximum voltage of the AC source, which is given as 200 V.
  • Step 2: Know that the RMS voltage (V_rms) is a way to express the effective voltage of an AC source.
  • Step 3: Use the formula to find RMS voltage: V_rms = V_peak / √2.
  • Step 4: Substitute the peak voltage into the formula: V_rms = 200 V / √2.
  • Step 5: Calculate √2, which is approximately 1.414.
  • Step 6: Divide 200 V by 1.414 to find V_rms: V_rms = 200 V / 1.414.
  • Step 7: Perform the division to get V_rms ≈ 141.42 V.
  • RMS Voltage Calculation – Understanding the relationship between peak voltage and RMS voltage in AC circuits.
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