| In our study of AC circuits thus far, we've 
                    explored circuits powered by a single-frequency sine voltage 
                    waveform. In many applications of electronics, though, 
                    single-frequency signals are the exception rather than the 
                    rule. Quite often we may encounter circuits where multiple 
                    frequencies of voltage coexist simultaneously. Also, circuit 
                    waveforms may be something other than sine-wave shaped, in 
                    which case we call them non-sinusoidal waveforms.  Additionally, we may encounter situations 
                    where DC is mixed with AC: where a waveform is superimposed 
                    on a steady (DC) signal. The result of such a mix is a 
                    signal varying in intensity, but never changing polarity, or 
                    changing polarity asymmetrically (spending more time 
                    positive than negative, for example). Since DC does not 
                    alternate as AC does, its "frequency" is said to be zero, 
                    and any signal containing DC along with a signal of varying 
                    intensity (AC) may be rightly called a mixed-frequency 
                    signal as well. In any of these cases where there is a mix 
                    of frequencies in the same circuit, analysis is more complex 
                    than what we've seen up to this point.  
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