Using rms values to represent their magnitudes, the voltage across and the current into a load are- as follows in phasor form: V = Vejo° and I = le-jø° Show that the instantaneous power p(f) = v(t) i(t) can be written as p(t) = P + P cos 2wt + Q sin 2wt, where average power P = VI cos o and reactive power Q = VI sin o.

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1.
Using rms values to represent their magnitudes, the voltage across and the current into a load are
as follows in phasor form:
V = Vej0° and I = le¬jø°
Show that the instantaneous power p(f) = v(t)-i(t) can be written as p(t) = P+ P cos 2wt + Q sin
= VI cos o and reactive power Q
%3D
%3!
2wt, where average power P
VI sin o.
Transcribed Image Text:1. Using rms values to represent their magnitudes, the voltage across and the current into a load are as follows in phasor form: V = Vej0° and I = le¬jø° Show that the instantaneous power p(f) = v(t)-i(t) can be written as p(t) = P+ P cos 2wt + Q sin = VI cos o and reactive power Q %3D %3! 2wt, where average power P VI sin o.
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