Lectures 20+21 - Lectures 20+21 Sinusoidal steady state:...

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Unformatted text preview: Lectures 20+21 Sinusoidal steady state: basic definitions Simple analysis Basic Sinusoid terms I(t)=Acos( t+ ) A: amplitude Peak = A Peak-to-peak =2A RMS=[mean(I(t)) 2 ] = 2 A : frequency is in radians/s = 2 f, f is frequency in Hertz (Hz)=cycles/second Period, T = 1/f = 2 / : phase Usually in radians Sometimes in degrees Time delay = - / A T- / time Responses to sinusoids responses of basic components to sinusoidal currents In each case, assume I(t)=Acos( t) ( 29 ( 29 ( 29 t A L t V t A dt d L dt dI L V L L sin ) ( cos- = = = I(t) R I(t) L I(t) C ( 29 ( 29 t A C t V dt t A C dt t I C V R C sin 1 ) ( cos 1 ) ( 1 = = = ( 29 t RA t V IR V R R cos ) ( = = Responses to sinusoids add in series: I(t)=Acos( t) I(t) R ( 29 ( 29 ( 29 ( 29 - =- = + = t R L t RA t A L t RA t V dt dI L IR V out out sin cos sin cos ) ( I(t)...
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This note was uploaded on 11/21/2011 for the course ECE 2100 taught by Professor Kelley/seyler during the Spring '05 term at Cornell University (Engineering School).

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Lectures 20+21 - Lectures 20+21 Sinusoidal steady state:...

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