phasor_notes - Reactance Impedance and Phasors Time Domain...

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Reactance, Impedance and Phasors Denard Lynch Page 1 of 2 Oct,. 2008 Time Domain Phasor Domain (Polar) Phasor Domain (Rectangular) Asin( ω t+ θ ) A + θ Acos θ + jAsin θ Asin( ω t- θ ) A ∠−θ Acos θ - jAsin θ Acos( ω t+ θ )= Asin ω ( t+ θ +90 0 ) Asin ω ( t+ θ )= Acos ω ( t+ θ -90 0 ) -Asin( ω t+ θ )= Asin ω ( ω t+ θ ± 180 0 ) -A ± θ = Α θ ± 180 0 ) If A + θ = (Acos θ + jAsin θ ) then A ∠−θ = (Acos θ - jAsin θ ) , ,+, × ,÷ , in the Phasor Domain NOTE: quantities in the phasor domain can be and usually are given in effective or RMS terms. Generally assume that any Phasor quantities are RMS unless otherwise stated. Rectangular Coordinates Polar Coordinates + (A + jB) + (C + jD) = (A+C) + j(B+D) Add like vectors; usually easiest to convert to rectangular coordinates then add. If θ is the same for both, can add magnitudes (A + jB) - (C + jD) = (A-C) + j(B-D) As above, subtract like vectors, but easiest to convert to rectangular coordinates first. If
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phasor_notes - Reactance Impedance and Phasors Time Domain...

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