Nilai Efektif

(A)   tegangan maksimum dan tegangan efektif

\(V = {\color {red} V_{\text{max}}} \:.\: \sin \omega t = {\color {red} 50 \sqrt{2}} \sin 100\pi t\)

\(V_{\text{max}} = 50 \sqrt{2} \text{ V}\)

\(V_{\text{eff}} = \dfrac {V_{\text{max}}}{\sqrt{2}} = \dfrac {50 \sqrt{2}}{\sqrt{2}} = 50 \text{ V}\)

(B)   frekuensi anguler, frekuensi dan periode

\(V =  V_{\text{max}} \:.\: \sin {\color {red}\omega} t = 50 \sqrt{2} \sin {\color {red} 100\pi} t\)

\(\omega = 100 \pi\)

\begin{equation*}
\begin{split}
\omega & = 100 \pi \\\\
2 \pi f & = 100 \pi \\\\
f & = 50 \text{ Hz}
\end{split}
\end{equation*}

\begin{equation*}
\begin{split}
f & = 50 \\\\
T & = \frac {1}{50} \text{ detik}
\end{split}
\end{equation*}