Question
sine wave has a peak voltage of 4.1 V . What is the rms voltage of this signal expressed in volts
a. 8.20 V
b. 4.10 V
c. 2.90 V
d. 2.61 V
a. 8.20 V
b. 4.10 V
c. 2.90 V
d. 2.61 V
Ask by Beck Chambers. in the United States
Mar 23,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The RMS voltage is approximately 2.90 V.
Solution
The RMS (root mean square) voltage for a sine wave is given by
Substitute the given peak voltage
Since
Thus, the RMS voltage of the signal is approximately
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Simplify this solution Beyond the Answer
To find the RMS voltage from the peak voltage of a sine wave, you can use the formula:
The RMS (Root Mean Square) voltage is especially useful in AC circuits because it represents the equivalent DC voltage that would deliver the same power to a resistive load. This concept is crucial for engineers and electricians when designing and analyzing circuits, ensuring safety and efficiency in electrical systems.
