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.

please explain each part on paper thank you i will like

Find the sinusoidal and the rms phaser expression Vs = 120 sin (377t+0 degrees)

For a source which has load has the following characteristics: • Vrms = 125 20° V • P= 400 W • pf = 0.925 lagging What is the rms current and reactive power?

Problem # 5 Consider the sinusoidal voltage and current shown below: v(t) = 170 cos(120zt - 60°) V and i(t) = 60 sin(120xt - 30°) A. Plot v(t) and i(t) and determine if the current is leading or lagging the voltage. Find the Phasor representations of both voltage and current. Determine the rms values of both voltage and current. Determine the apparent power, S, P, Q, pf, and r.f. a) b) c) d)

Two 660 V (rms) loads are connected in parallel. The two loads draw a total average power of 76.2 kW at a power factor of 0.8 leading. One of the loads draws 46 kVA at a power factor of 0.96 lagging