Question
1. A sine wave has a peak voltage of 100v; calculate the RMS value.
Answer
4.5
(255 Votes)
Ryan
Master · Tutor for 5 years
Answer
Evaluate the result; the RMS value of this particular sine wave is
. It is known that
is approximately 1.414, hence by doing these calculations correctly we should have
, which equates to roughly 70.7 volts. Therefore, the RMS voltage is approximately 70.7 volts.
Explanation
## Step1:The Root Mean Square (RMS) voltage of a sine wave is generally calculated from the peak voltage (Vpeak) with the following standard formula:###
## Step2:In this case, the given peak voltage
. Substitute this value into the formula above to find the RMS voltage.## Step3:Those are entire steps in this calculation. Double-check the calculation before obtaining the final output.