A compleximpedance operates with a power factor of 0866 lead

A complex-impedance operates with a power factor of 0.866 leading and consumes a reactive power Q equal to -200 VAR. a. Find the power angle of the impedance, in degrees. b. Find the average power, P, absorbed by the impedance (fractional answer). c. Determine the apparent power, S_m, absorbed by the impedance. d. Indicate whether this is operating as an RC load or an RL load. Use correct units when reporting your answers for the various powers.

Solution

Given reactive power is 200.var which is leading 0.866 of

Q=P*tan

=cos inverse(0.866)=30

P= Q/cot

200/cot 30

346.410 watt

S=P-jQ=346.410-200j

Reactive power leading means RC load