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 100π t + 8 cos 100π t – 3 sin 200π t – 4 cos 200π t A
(a) Express i (t) in amplitude-phase form.
(b) If i (t) flows through a 2-Ω resistor, how many watts of average power will be dissipated?
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