(Solved): The circuit in Fig. is supplied with a cosine input current \( \underline{I}_ ...

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The circuit in Fig. is supplied with a cosine input current \( \underline{I}_{\mathrm{S}} \) that has an RMS value of \( 12 \mathrm{~A} \), a frequency of \( 50 \mathrm{~Hz} \) and a phase angle of \( 0^{\circ} \). Leave all final answers in this question in 4 significant figures. Fig. \( \quad \) RLC circuit with sinusoidal input voltage. a) Find the equivalent impedance \( Z_{\text {eq }} \) to the right of the \( 100 \Omega \) resistor, assuming that the inductive reactance \( X_{\mathrm{L}}=j 4 \Omega \). Express \( \mathrm{Z}_{\text {total }} \) in exponential form. b) Determine the phasor currents \( \underline{I}_{\mathrm{RL}}, \underline{I}_{\mathrm{C}} \), and \( \underline{I}_{0} \) and draw the time domain waveforms of all the currents using for \( 0