253-1-sinusoids-and-phasors-2

# 253-1-sinusoids-and-phasors-2 - 1 EECE 253 Sinusoids and...

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Unformatted text preview: 1 EECE 253: Sinusoids and Phasors Slide 1.2.1 Visualize Phasor Visualisation: 1. Picture V as a “vector” in the complex plane 2. Rotate this vector CW with frequency ω rad/s 3. Project the vector onto the real axis. φ φ ω φ ω ∠ = = = = + m j m t j t j m V e V e e V t v V V ) Re( ) Re( ) ( ) ( ) cos( ) ( φ ω + = t V t v m Take a sinusoid: Phasor EECE 253: Sinusoids and Phasors Slide 1.2.2 Phasor • Transform a sinusoid from the time domain to the phasor domain: (time domain) (phasor domain) ) cos( ) ( φ ω + = t V t v m φ ∠ = m V V • Amplitude and phase difference are two principal concerns in the study of voltage and current sinusoids. • Phasor will be defined from the cosine function in all our proceeding study. If a voltage or current expression is in the form of a sine, it will be changed to a cosine. 2 EECE 253: Sinusoids and Phasors Slide 1.2.3 Phasor The differences between v (t) and V: • v (t) is instantaneous or time-domain representation V is the frequency...
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253-1-sinusoids-and-phasors-2 - 1 EECE 253 Sinusoids and...

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