10 - AC Circuits and Phasors

10 - AC Circuits and Phasors - EECS 215 AC Circuits and...

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Unformatted text preview: EECS 215 AC Circuits and Phasors J. Phillips EECS 215 Introduction Objective: Find steady state response of a linear circuit to fixed AC signal Sinusoidal input experienced in practice Any time varying periodic signal can be represented by a series of sinusoids (Fourier Series) What happens if we solve by directly substitution? amplitude V m = frequency angular = ( ) + = t V v m s sin phase = J. Phillips EECS 215 Phasors Sinusoids may be alternatively represented by a complex number containing magnitude and phase info jy x z + = j re r z = = 2 2 y x r + = x y 1 tan = cos r x = sin r y = sin cos j e j = ( ) ( ) ( ) ( ) t j j t j m m Ve e e V t V t v Re Re cos = = + = tion representa phasor V e V V m j m = = = J. Phillips EECS 215 Phasor Math Addtion ( ) ( ) 2 1 2 1 2 1 y y j x x z z + + + = + ( ) ( ) 2 1 2 1 2 1 y y j x x z z + = ( ) 2 1 2 1 2 1 + = r r z z ( ) 2 1 2 1 2 1...
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This note was uploaded on 04/04/2008 for the course EECS 215 taught by Professor Phillips during the Winter '08 term at University of Michigan.

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10 - AC Circuits and Phasors - EECS 215 AC Circuits and...

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