$s(I)\frac{?}{{?}_{sin(120t+\frac{}{2})A}}=$

$(2$ points$)$ Determine the natural frequency of this circuit.

$(2$ points$)$ Determine the current's AC phase shift.

$(2$ points$)$ Determine the equivalent impedance of this circuit.

$(2$ points$)$ Express the source current in phasor form.

$(2$ points$)$ Determine the branch voltage and express it in time domain.

$(1$ bonus point$)[$True $/$ False$]$ Power factor is caused by field effects in AC circuits.