1.Using rms values to represent their magnitudes, the voltage across and the current into a load areas 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 sin2wt, where average power P = VI cos o and reactive power Q = VI sin o.%3D2. In problem 1, if V= 120 V, I= 1 A, and Ø = 30°, find the actual value of P, Q, S and powerfactor (PF). Is this load leading or lagging?3.An input voltage of a repetitive waveform is filtered and then applied across the load resistance, asshown 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 iLoadand the average value of the capacitor current ic.(d) (10 points bonus) Sketch i, iz and vị.iLoadViİL itR15VC 宗。(Load)4 us 2 us-6 usFigure P3-8

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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 2wi, where average power P = VI cos o and reactive power Q = VI sin o. %3D

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 2wi, where average power P = VI cos o and reactive power Q = VI sin o. %3D

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter2: Fundamentals

Section: Chapter Questions

Problem 2.30MCQ: Under balanced operating conditions, consider the three-phase complex power delivered by the...

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