Given a sinusoidal source with:

$=377\frac{\text{r}\text{a}\text{d}}{s},(V)=220V_{rms(Angle)25}(I)=1A_{rms}(Angle)-10$

$(2$ points$)$ Write out the equation for $V(t).$

$(2$ points$)$ Write out the equation for $i(t).$

$(2$ points$)$ Calculate $$ between $\frac{?}{\text{b}\text{a}\text{r}}(V)$ and $\frac{?}{\text{b}\text{a}\text{r}}(I).$

$(2$ points$)$ Calculate the Power Factor.

$(2$ points$)$ Express the real power, $P.$

$(1$ bonus point$)$ Calculate the complex power, $\frac{?}{\text{b}\text{a}\text{r}}(S).$