What is the ratio of peak to average value...

Question 1 / 27070Ll5JfK4TSh9EcS49t79n

Question 1 of 27070Ll5JfK4TSh9EcS49t79n

What is the ratio of peak to average value of a sine wave?

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Question 1 of 27070

Q

What is the ratio of peak to average value of a sine wave?

🔍 Key Concepts

• Sine wave characteristics (peak, RMS, average/rectified value) • Relationship between average value and peak value over one half-cycle of a sine wave • Distinguish between ratios expressed as a number (e.g., 1.57) and ratios written as A to B (e.g., 1 to 0.636)

💭 Think About

• First, recall or derive the average value of one half-cycle of a pure sine wave in terms of its peak value. How is it commonly written in power/electronics formulas? • Once you know the average value as a fraction of the peak, invert that fraction to find how many times larger the peak is than the average. • Compare your numerical ratio to the options and pay attention to whether the ratio is written as peak:average or average:peak.

✅ Before You Answer

• Be clear on what "average value" means here: it usually refers to the average of the rectified (one half-cycle) sine wave, not RMS. • Confirm which side of the ratio corresponds to peak and which to average before matching with the choices. • Double‑check the numerical constant you remember (around 0.636 or 1.57) and how it relates to peak vs. average, so you don’t flip the ratio.

Question 1 of 27070

Q

What is the ratio of peak to average value of a sine wave?

A

1.57 to 1

B

1 to 0.636

C

1 to 1

D

A & B

Question 1 / 27070Ll5JfK4TSh9EcS49t79n

Question 1 of 27070Ll5JfK4TSh9EcS49t79n

What is the ratio of peak to average value of a sine wave?

Back

Question 1 of 27070

Q

What is the ratio of peak to average value of a sine wave?

🔍 Key Concepts

• Sine wave characteristics (peak, RMS, average/rectified value) • Relationship between average value and peak value over one half-cycle of a sine wave • Distinguish between ratios expressed as a number (e.g., 1.57) and ratios written as A to B (e.g., 1 to 0.636)

💭 Think About

• First, recall or derive the average value of one half-cycle of a pure sine wave in terms of its peak value. How is it commonly written in power/electronics formulas? • Once you know the average value as a fraction of the peak, invert that fraction to find how many times larger the peak is than the average. • Compare your numerical ratio to the options and pay attention to whether the ratio is written as peak:average or average:peak.

✅ Before You Answer

• Be clear on what "average value" means here: it usually refers to the average of the rectified (one half-cycle) sine wave, not RMS. • Confirm which side of the ratio corresponds to peak and which to average before matching with the choices. • Double‑check the numerical constant you remember (around 0.636 or 1.57) and how it relates to peak vs. average, so you don’t flip the ratio.