215+Ch7 - 7 AC ANALYSIS CIRCUITS by Ulaby Maharbiz Linear...

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7. AC ANALYSIS CIRCUITS by Ulaby & Maharbiz
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Linear Circuits at ac Objective: To determine the steady state response of a linear circuit to ac signals b Sinusoidal input is common in electronic circuits b Any time-varying periodic signal can be represented by a series of sinusoids (Fourier Series) b Time-domain solution method can be cumbersome
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Sinusoidal Signals ( ) ( ) φ ω + = t V t v cos m f π 2 = f T 1 = Useful relations
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Phase Lead/Lag
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Complex Numbers We will find it is useful to represent sinusoids as complex numbers jy x z + = θ j e z z z = = 1 - = j Rectangular coordinates Polar coordinates sin cos j e j ± = ± Relations based on Euler’s Identity
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Relations for Complex Numbers Learn how to perform these with your calculator/computer
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Phasor Domain 1. The phasor-analysis technique transforms equations from the time domain to the phasor domain. 2. Integro-differential equations get converted into linear equations with no sinusoidal functions. 3.
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This note was uploaded on 01/19/2012 for the course EECS 215 taught by Professor Phillips during the Fall '08 term at University of Michigan.

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215+Ch7 - 7 AC ANALYSIS CIRCUITS by Ulaby Maharbiz Linear...

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