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The signal power of the signal x (t) = 2sin 2t + 4sin 4t + 6cos 4t + 2cos 2t with period 0.5 is...

The signal power of the signal x (t) = 2sin 2t + 4sin 4t + 6cos 4t + 2cos 2t with period 0.5 is ________________

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asked Sep 30, 2022 in Signals and Systems by Lucy (1.2m points)

The signal power of the signal x (t) = 2sin 2t + 4sin 4t + 6cos 4t + 2cos 2t with period 0.5 is ________________

(a) 30 W

(b) 36 W

(c) 60 W

(d) 12 W

This question was posed to me by my school teacher while I was bunking the class.

I need to ask this question from Average Power and Energy of a Signal topic in division Fourier Series of Signals and Systems

signals and systems
fourier series
average power and energy of a signal

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answered Oct 8, 2022 by leeyal (42.1k points)

The correct option is (a) 30 W

Easiest explanation: Signal power = 0.5(2^2 + 4^2 + 6^2 + 2^2)

= 0.5(4 + 16 + 36 + 4)

= 0.5(20 + 40) = 30 W.

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