Question
What is the RMS voltage of a sine wave with a value of 17 volts peak?
Answer Options
- A) 8.5 volts
- B) 12 volts
- C) 24 volts
- D) 34 volts
Correct Answer: B
Explanation
For a sine wave, the Root-Mean-Square (RMS) voltage (V_{\text{RMS}}) is related to the peak voltage (V_p) by the formula: V_{\text{RMS}} = V_p / \sqrt{2}. The value of 1/\sqrt{2} is approximately 0.707.
Using the given peak voltage (V_p = 17 \text{ volts}): V_{\text{RMS}} = \frac{17 \text{ V}}{1.414} \approx 12.02 \text{ volts.} Rounding to the nearest whole number, the RMS voltage is 12 \text{ volts}.
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