If $v(t) = 220 \cos 50t$ V and $i(t) = -33 \sin (50t - 30^\circ)$ A, calculate the instantaneous power and the average power. The instantaneous power is [____ + ____ $\cos$(____)] kW. The average power is ____ kW.
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Step 1: The instantaneous power $p(t)$ is given by the product of the voltage and current: $p(t) = v(t)i(t) = 220 \cos(50t) \times (-33 \sin(50t - 30^\circ))$ $p(t) = -7260 \cos(50t) \sin(50t - 30^\circ)$ Show more…
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