1.Using rms values to represent their magnitudes, the voltage across and the current into a load areas 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 PVI sin o.

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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(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.

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.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Concept explainers

Sinusoids And Phasors

Sinusoids are defined as the mathematical waveforms that are used to describe the nature of periodic oscillations.

Circuit Theory

Electric circuits are a network that comprises of a closed-loop, which helps in providing a return path for the current through a switch. When the switch is activated, the load operates, and the current accepts a path to finish the circuit at a low potential level from the opposing high potential level. Electric circuits theory is a linear analysis that helps in establishing a linear relation of voltage and current for R (resistance), L (inductance), and C (capacitance).

Question

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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