Question
A sine wave has a peak voltage of 14.3 V . What is the rms voltage of this signal expressed in volts
?
Ask by Joseph Chan. in the United States
Mar 23,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The rms voltage is approximately
.
Solution
We start with the formula for the RMS voltage of a sine wave:
Given
, we calculate:
Thus, the rms voltage is approximately
.
Answered by UpStudy AI and reviewed by a Professional Tutor
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The Deep Dive
To find the rms voltage of a sine wave, you can use the formula:
In this case, the peak voltage
is 14.3 V. Calculating that gives:
Thus, the correct answer is a. 10.11 V.
Did you know that the concept of rms (root mean square) voltage is deeply connected to AC power! It helps to determine how much effective voltage is supplied by an alternating current, making it crucial for power calculations in homes and industries.
For anyone coming across these calculations, one common mistake is forgetting to divide by
and simply thinking that the peak voltage is equal to the rms voltage. Remember, that’s only true for DC voltages!