ACformulas - ECE225 AC CIRCUIT FORMULAS ~ I FALL 2009 ~ I 1...

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ECE225 AC CIRCUIT FORMULAS FALL 2009 ~ + - V ~ R jX p p φ R X Z φ s s p X 1 p R 1 - Y S Q P I s jX s R ~ I ~ V - + Real Formulas Complex Formulas I = | ˜ I | ˜ I = | ˜ I | 6 θ i V = | ˜ V | ˜ V = | ˜ V | 6 θ v Z = | ¯ Z | ¯ Z = | ¯ Z | 6 φ S = | ¯ S | ¯ S = | ¯ S | 6 φ Z = p R 2 s + X 2 s , φ = tan - 1 X s /R s ¯ Z = R s + jX s Z = R p X p / q R 2 p + X 2 p , φ = tan - 1 R p /X p ¯ Z = R p k jX p V = ZI ˜ V = ¯ Z ˜ I S = V I , φ = θ v - θ i ¯ S = ˜ V ˜ I * = | ˜ V || ˜ I | 6 ( θ v - θ i ) S = p P 2 + Q 2 , φ = tan - 1 Q/P ¯ S = P + jQ = | ¯ S | 6 tan - 1 Q/P S = ZI 2 ¯ S = ¯ Z | ˜ I | 2 P = R s I 2 , Q = X s I
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