A sine wave has a peak voltage of 14.3 V . What is the rms voltage of this signal expressed in volts $$ (\mathrm{V}) $$ ? $$ \begin{array}{l} ext { a. } 10.11 \mathrm{~V} \ ext { b. } 9.11 \mathrm{~V} \ ext { c. } 28.60 \mathrm{~V} \ ext { d. } 14.30 \mathrm{~V} \ ext { Check } \ ext { ge }\end{array} $$

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A sine wave has a peak voltage of 14.3 V . What is the rms voltage of this signal expressed in volts $$ (\mathrm{V}) $$ ? $$ \begin{array}{l}	ext { a. } 10.11 \mathrm{~V} \ 	ext { b. } 9.11 \mathrm{~V} \ 	ext { c. } 28.60 \mathrm{~V} \ 	ext { d. } 14.30 \mathrm{~V} \ 	ext { Check } \ 	ext { ge }\end{array} $$

UpStudy AI · Accepted Answer

We start with the formula for the RMS voltage of a sine wave:
$$
V_{\text{RMS}} = \frac{V_{\text{peak}}}{\sqrt{2}}
$$

Given $$ V_{\text{peak}} = 14.3\,\text{V} $$, we calculate:
$$
V_{\text{RMS}} = \frac{14.3}{\sqrt{2}} \approx \frac{14.3}{1.414} \approx 10.11\,\text{V}
$$

Thus, the rms voltage is approximately $$10.11\,\text{V}$$.
The rms voltage is approximately $$10.11\,\text{V}$$.

A sine wave has a peak voltage of 14.3 V . What is the rms voltage of this signal expressed in volts ?

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