Please show your work For the circuit shown below determine

Please show your work

For the circuit shown below, determine whether the load Z_o is capacitive or inductive under the following conditions: the power factor is 0.76 leading the power factor is 0.5 lagging i_o (t0 = cos omega t A v_o (t) 5 cos omega t V i_o (t) = 10 cos (omega t - pi/4) A v_o (t) = 50 cos omega t

Solution

A) since power factor is leading Zo is capacitive

B) since power factor is lagging Zo is inductive

C) In this case the current and voltage are in phase,i.e., phase angle between voltage and current is zero.

therefore Zo is resistive

D) in this case current lags the voltage by 45⁰ ,therefore Zo is inductive