Determine the equivalent impedance seen by the source. \(\Omega\)

To receive partial credit on computation questions, please upload your supporting work here.

The input to the ac circuit shown is the source voltage, \(v_s(t)=12cos(1000t+15^\circ)\).  Match the variable to the answer.

Determine the phase angle of the capacitor voltage, \(v_C(t)\). Give your answer in degrees.

Determine the real (active) power absorbed by the load. Give your answer in W.

Determine the magnitude of the capacitor voltage, \(v_C(t)\). Give your answer in V.

Determine the reactive power absorbed by the load. Give your answer in VAR.

For the same input voltage, determine the phase angle of the output voltage, \(v_{out}(t)\), across the capacitor. Give your answer in \(^{\circ}\).

For the input voltage\[v_{in}(t)=2.828\cos\left(\omega_c t+75^\circ\right)\ \mathrm{V},\]determine the magnitude of the output voltage, \(v_{out}(t)\), across the capacitor. Give your answer in V.

Determine the equivalent reactance seen by the source. Give your answer in \(\Omega\).