By what factor must the voltage measured in...

Question 1 / 27070edtnfCJHWOZUKWvNPApR

Question 1 of 27070edtnfCJHWOZUKWvNPApR

By what factor must the voltage measured in 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 27070

By what factor must the voltage measured in 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 (root mean square) voltage and average (mean of the rectified) voltage for a pure sine wave • The numerical value of RMS vs average for a sine wave: think of common factors like 0.707 and 1.414 and how they relate to peak and RMS values • Definition of form factor in AC theory (ratio of RMS value to average value)

💭 Think About

• Is the voltmeter scale typically calibrated to show RMS voltage or peak voltage for a standard AC sine wave? • If you know the ratio of RMS to average value (form factor), should you multiply the RMS reading by a number greater than 1 or less than 1 to get the average? • How do the common constants 0.707 and 1.414 usually relate to peak, RMS, and average values in AC circuits?

✅ Before You Answer

• Confirm how average value is defined for a symmetrical sine wave (hint: average over a full cycle is zero, so we normally use the average of the rectified waveform) • Verify the standard form factor for a sinusoidal AC wave and which way the ratio is taken (RMS ÷ average, or average ÷ RMS) • Check that the factor you choose makes sense dimensionally: multiplying the RMS voltmeter reading by this factor should give a smaller or larger value consistent with RMS vs average for a sine wave

Question 1 of 27070

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

0.707

1.414

0. 9

3.14

Question 1 / 27070edtnfCJHWOZUKWvNPApR

Question 1 of 27070edtnfCJHWOZUKWvNPApR

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

Back

Question 1 of 27070

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