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

Question 1 / 27070AybC3ImWgXLwz4aC6kPG

Question 1 of 27070AybC3ImWgXLwz4aC6kPG

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

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Question 1 of 27070

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

🔍 Key Concepts

• Relationship between RMS (root mean square) voltage and peak voltage for a sinusoidal AC waveform • Standard formula: $V_{\text{RMS}} = \frac{V_{\text{peak}}}{\sqrt{2}}$ for a pure sine wave • How to find the multiplying factor to go from RMS (what the meter shows) to peak value

💭 Think About

• If the meter is showing RMS voltage and you want peak voltage, how would you rearrange the formula $V_{\text{RMS}} = \frac{V_{\text{peak}}}{\sqrt{2}}$ ? • What is the numerical value of $\sqrt{2}$ to three decimal places, and how does that compare to the answer choices? • Are the answer choices showing a number greater than 1 or less than 1, and should the factor to go from RMS to peak make the value larger or smaller?

✅ Before You Answer

• Confirm that an AC voltmeter scale for household/marine power normally reads RMS voltage, not peak • Calculate or recall the approximate value of $\sqrt{2}$ and its inverse 1/ $\sqrt{2}$ • Make sure the direction of conversion (RMS → peak) matches a factor that makes the numerical voltage value larger, not smaller

Question 1 of 27070

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

The multiplying factor is .414

The multiplying factor is A.414

The multiplying factor is A.114

The multiplying factor is A.141

Question 1 / 27070AybC3ImWgXLwz4aC6kPG

Question 1 of 27070AybC3ImWgXLwz4aC6kPG

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

Back

Question 1 of 27070

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