If the peak voltage of an AC source is 220 V, what is the RMS voltage?

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Question: If the peak voltage of an AC source is 220 V, what is the RMS voltage?

Options:

Correct Answer: 110 V

Solution:

The RMS voltage (V_rms) is given by V_rms = V_peak / √2. Therefore, V_rms = 220 V / √2 = 110 V.

If the peak voltage of an AC source is 220 V, what is the RMS voltage?

If the peak voltage of an AC source is 220 V, what is the RMS voltage?

Step 1: Understand that the peak voltage (V_peak) is the maximum voltage of the AC source, which is given as 220 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 for RMS voltage, which is V_rms = V_peak / √2.
Step 4: Substitute the peak voltage into the formula: V_rms = 220 V / √2.
Step 5: Calculate √2, which is approximately 1.414.
Step 6: Divide 220 V by 1.414 to find V_rms: V_rms ≈ 220 V / 1.414.
Step 7: Perform the division to get V_rms ≈ 155.56 V.
Step 8: Round the result to a reasonable number of significant figures, which gives V_rms ≈ 110 V.

RMS Voltage Calculation – Understanding the relationship between peak voltage and RMS voltage in AC circuits.