What is the peak voltage of an AC supply if its RMS voltage is 220 V? (2021)

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Question: What is the peak voltage of an AC supply if its RMS voltage is 220 V? (2021)

Options:

Correct Answer: 311 V

Exam Year: 2021

Solution:

The peak voltage (V_peak) is related to the RMS voltage (V_rms) by the formula V_peak = V_rms × √2. Therefore, V_peak = 220 V × √2 ≈ 311 V.

What is the peak voltage of an AC supply if its RMS voltage is 220 V? (2021)

What is the peak voltage of an AC supply if its RMS voltage is 220 V? (2021)

Step 1: Understand that RMS voltage (V_rms) is a way to express the effective voltage of an AC supply.
Step 2: Know the formula that relates peak voltage (V_peak) to RMS voltage: V_peak = V_rms × √2.
Step 3: Identify the given RMS voltage, which is 220 V.
Step 4: Substitute the RMS voltage into the formula: V_peak = 220 V × √2.
Step 5: Calculate √2, which is approximately 1.414.
Step 6: Multiply 220 V by 1.414 to find the peak voltage: V_peak ≈ 220 V × 1.414.
Step 7: Perform the multiplication: V_peak ≈ 311 V.

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