By what factor must the voltage of an ac...

Question 1 of 29218GZy5aJpqUeUrKrxa63Pj

By what factor must the voltage of an ac circuit, as indicated on the scale of an AC voltmeter, be multiplied to obtain the average voltage value?

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Question 1 of 29218

Q

By what factor must the voltage of an ac circuit, as indicated on the scale of an AC voltmeter, be multiplied to obtain the average voltage value?

🔍 Key Concepts

• Relationship between RMS (effective) voltage and average voltage for a pure sinusoidal AC waveform • What a standard AC voltmeter is calibrated to read (RMS vs average) • Numerical ratio between V_avg and V_rms for a sine wave

💭 Think About

• Is the scale on a typical AC voltmeter marked in RMS or average values for a sine wave? • For a sinusoidal wave, is the average value smaller or larger than the RMS value, and by about what fraction? • If V_rms is known, what constant would you multiply it by to estimate V_avg for a sine wave?

✅ Before You Answer

• Confirm that a standard shipboard AC voltmeter is calibrated in RMS (effective) volts for a sinusoidal wave • Recall that for a sine wave, V_rms = 0.707 × V_peak and V_avg (rectified) ≈ 0.637 × V_peak • Compute the ratio V_avg / V_rms to see which choice is numerically reasonable