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# L9 - Lecture 9 Sinusoidal Analysis and Complex Impedances...

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Lecture 9: Sinusoidal Analysis and Complex Impedances In the previous lectures, one has been dealing with DC voltage ad current sources. Most circuit analyses, however, involve sinusoidal voltage and current sources because this is the form in which power is transmitted to our homes. From physics I and II, power can only be created from power generators using alternating current (ac). In this lecture, we will study sinusoidal analysis for circuits. A sinusoid is a function having the following form. X(t)= Acos(wt+8) A=peak amplitude, w=radian frequency (in radians per second) t=time (in seconds) f=frequency (in Hz) 8=initial phase wt+ 8= instantaneous phase Root Mean Square Value: The root mean square of a periodic signal with period T is given by 1 T 2 Xrms = T f 0 x (t) dt Root mean square is the root of the mean of the square of the function at hand. The root mean square of a signal also called the effective value. The mean of a periodic signal with period Tis

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L9 - Lecture 9 Sinusoidal Analysis and Complex Impedances...

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