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Unformatted text preview: Time Domain Phasor (frequency) Domain Phasors What have we done? – Temporarily dropped the “ωt” (time factor) – We want to exploit the convenience of working with vectors – A sinusoid can be represented as a complex number: z = x + jy z Re Im Complex numbers – quick review ● Rectangular Form: ● Polar Form: ● Exponential Form: Complex numbers – quick review ● Complex Number Algebra: – Addition/Subtraction: – Multiplication/Division: – Reciprocal: Complex numbers – quick review ● Complex Number Algebra: – Square Root: – Complex Conjugate: Euler's Identity e ±jθ = cosθ ± jsinθ Phasor representation for sinusoid: Phasor representation for sinusoid: graphically: Time → Phasor Domain: Systematic Approach 1. Express sinusoids in cosine form 2. Take magnitude and phase Example 2 Basic AC circuit ● Phasor form of Ohm's Law:...
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 Winter '11
 Karim
 Alternating Current, Complex number, Imaginary unit, Euler's formula

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