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Simple AC circuit problem (I WILL DOWNVOTE IF YOU DO NOT EXPLAIN WHERE I AM GOING...

Simple AC circuit problem (I WILL DOWNVOTE IF YOU DO NOT EXPLAIN WHERE I AM GOING WRONG).

Problem: Obtain the overall impedance Z given the following info: Real Power = 1000 W, Power Factor = 0.8 leading, Vrms = 220 V

I am doing the following:

Get the power angle phi by taking the inverse cosine of Power Factor. phi = 36.87 degrees.

From the power triangle, Q = (Real Power) x tan(phi). Q = 750.

S = P + jQ. So then S = 1000 + j750

We know S = VrmsI*rms (here * means complex conjugate).

Find I*rms.

From this, easily get Irms.

Z = Vrms / Irms.

But my answer is coming out wrong. And I don't know why.

engineering   Electrical-Engineering   
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