A certain band-limited periodic current has only three frequencies in its Fourier series representation: dc, 50 Hz, and 100 Hz. The current may be represented as i(t) = 4 + 6 sin 100 ? t + 8 cos 100 ? t - 3 sin 200 ? t - 4 cos 200 ? t A

(a) Express i(t) in amplitude-phase form.
(b) If i(t) flows through a 2-? resistor, how many watts of average power will be dissipated?


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