Lecture 18+19_v2 - Spring, 2011 ECE 2100, Cornell U. A....

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Unformatted text preview: Spring, 2011 ECE 2100, Cornell U. A. Molnar 1 Lectures 18+19 Sinusoidal steady state: basic definitions Simple analysis Spring, 2011 ECE 2100, Cornell U. A. Molnar 2 Basic Sinusoid terms I(t)=mcos( t+ ) m: amplitude Peak = m Peak-to-peak =2m RMS=[mean(I(t)) 2 ] = 2- m : 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 = - / m T- / time Spring, 2011 ECE 2100, Cornell U. A. Molnar 3 Responses to sinusoids responses of basic components to sinusoidal currents In each case, assume I(t)=mcos( t) ( 29 ( 29 ( 29 t m L t V t m dt d L dt dI L V L L sin ) ( cos- = = = I(t) R I(t) L I(t) C ( 29 ( 29 t m C t V dt t m C dt t I C V R C sin 1 ) ( cos 1 ) ( 1 = = = ( 29 t Rm t V IR V R R cos ) ( = = Spring, 2011 ECE 2100, Cornell U. A. Molnar 4 Responses to sinusoids add in series: I(t)=mcos( t) I(t) R L ( 29 ( 29 ( 29 ( 29...
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Lecture 18+19_v2 - Spring, 2011 ECE 2100, Cornell U. A....

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