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1. A sine wave has a peak voltage of 100v; calculate the RMS value.

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A sine wave has a peak voltage of 100v; calculate the RMS value.

1. A sine wave has a peak voltage of 100v; calculate the RMS value.

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RyanMaster · Tutor for 5 years

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Evaluate the result; the RMS value of this particular sine wave is \( \frac {100 volts}{\sqrt2} \). It is known that \( \sqrt2 \) is approximately 1.414, hence by doing these calculations correctly we should have \( \frac {100}{1.414} \) , which equates to roughly 70.7 volts. Therefore, the RMS voltage is approximately 70.7 volts.

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## Step1:<br />The Root Mean Square (RMS) voltage of a sine wave is generally calculated from the peak voltage (Vpeak) with the following standard formula:<br />### \(V_{rms }= \frac {V_{peak}}{\sqrt2}\)<br /><br />## Step2:<br />In this case, the given peak voltage \(V_{peak} = 100 volts\). Substitute this value into the formula above to find the RMS voltage.<br /><br />## Step3:<br />Those are entire steps in this calculation. Double-check the calculation before obtaining the final output.
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