I have a circuit with rms voltage values across resistor Vr=7V, and across resistor and inductor Vlr=8.5V. Phase difference between these two voltage waves is 30 degrees. F = 50Hz.

I need to calculate power factor and active/reactive power.

1. Because Vr is in phase with current the power factor will be cos(30)=0.866. Is my assumption correct?
2. To calculate powers in this circuit I need to calculate current and for that I would need total impedance. Is that right? What approach would you suggest for impedance calculation as inductor value is unknown. Is there another way to calculate powers?
Thank you for your guidance.

 

The resistor and inductor are in series so the same current flows in both. You have the value of the resistor and the voltage across it so calculating the current is simple.