215+Ch8 - 8. AC POWER CIRCUITS by Ulaby & Maharbiz...

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8. AC POWER CIRCUITS by Ulaby & Maharbiz
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Linear Circuits at ac Instantaneous power Average power ) ( ) ( ) ( t i t t p υ = Power at any instant of time Average of instantaneous power over one period = T dt t p T P 0 ) ( 1 b Power delivery (utilities) b Electronics (laptops, mobile phones, etc.) b Logic circuits Power is critical for many reasons: Note: Power is not a linear function, cannot apply superposition
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Instantaneous Power for Sinusoids Power depends on phases of voltage and current ( ) ( ) ( ) ( ) i i t t I V t p t i t t p t I t i t V t θ ω υ + + = = + = + = cos cos ) ( ) ( ) ( ) ( cos ) ( cos ) ( m m m m Trig. Identity:
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Average Value Sine wave
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Average Value Truncated sawtooth
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Important Relation These properties hold true for positive integer values of n and any values of φ 1 and φ 2
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Average Value for
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Effective or RMS Value Equivalent Value That Delivers Same Average Power to Resistor as in dc case For current given by Effective value is the (square)
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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+Ch8 - 8. AC POWER CIRCUITS by Ulaby & Maharbiz...

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