An \(R L C\) series circuit containing a \(6.00-\mathrm{mH}\) inductor, a \(100-\Omega\) resistor, a \(4.00-\mu \mathrm{F}\) capacitor, and an \(\mathrm{AC}\) source for which \(\mathscr{E}_{\max }=30.0 \mathrm{~V}\) is operated at an angular frequency of \(5000 \mathrm{~s} \mathrm{~s}^{-1}\). Determine the phase constant, the power factor, the impedance, the rms emf for the source, the rms current, and the average rate at which energy is delivered by the source.