lecture 2 - Phasor • Complex number consisting of the...

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Unformatted text preview: 11/12/09 Phasor • Complex number consisting of the magnitude and phase of a sinusoidal signal • Complex “prefactor” for t j e ϖ t j t j j t j Ve e ve ve t v ϖ ϖ φ φ ϖ = = = + ) ( ) ( φ φ ∠ = = v ve V j 11/12/09 Capacitor current using phasors Phasor forms of and c c t j c t j c CV j I e CV j e I ϖ ϖ ϖ ϖ = = 11/12/09 Impedance of a Capacitor C j Z Y C j I V Z c c c c c ϖ ϖ = = = = 1 1 Impedance Admittance For capacitor, Χ + = = j R I V Z R : resistance X : reactance ( ) 11/12/09 Inductor voltage using phasors Phasor forms of and L L t j L t j L LI j V e LI j e V ϖ ϖ ϖ ϖ = = L j Z Y L j I V Z c c L L L ϖ ϖ 1 1 = = = = Impedance Admittance 11/12/09 Simple AC circuits with R,L, or C L j I V Z L L L ϖ = = (http://www.walter-fendt.de/ph14e/accircuit.htm) C j I V Z c c c ϖ 1 = = R I V Z c c R = = I V 11/12/09 Circuit analysis with Phasors ZR Z C Redrawing the circuit with phasors , , ∞ = → = ∞ → ϖ ϖ C C Z Z @ @ S C R C c V Z Z Z V + = 11/12/09...
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lecture 2 - Phasor • Complex number consisting of the...

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