1. 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(t) =...

Extracted 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 = Vejo° and I = le-jø° Show that the instantaneous power p(t) = 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. %3D 2. In problem 1, if V= 120 V, I= 1 A, and Ø = 30°, find the actual value of P, Q, S and power factor (PF). Is this load leading or lagging? 3. An input voltage of a repetitive waveform is filtered and then applied across the load resistance, as shown in Fig. P3-8. Consider the system to be in steady state. It is given that L = 5 µH and PLoad = 250 W. (a) Calculate the average output voltage Vo. (b) Calculate the rms value of Vị. (c) Assume C is big enough to hold the output voltage vo fairly constant. Calculate iLoad and the average value of the capacitor current ic. (d) (10 points bonus) Sketch i, iz and vị. iLoad Vi İL it R 15V C 宗。 (Load) 4 us 2 us- 6 us Figure P3-8