(BQ) Part 2 book "Engineering circuit analysis" has contents: AC circuit power analysis, polyphase circuits, magnetically coupled circuits, complex frequency and the laplace transform, circuit analysis in the s-domain, frequency response, two-port networks,.and other content. | CHAPTER Sinusoidal 10 Steady-State Analysis KEY CONCEPTS Characteristics of Sinusoidal Functions INTRODUCTION The complete response of a linear electric circuit is composed of two parts, the natural response and the forced response. The natural response is the short-lived transient response of a circuit to a sudden change in its condition. The forced response is the longterm steady-state response of a circuit to any independent sources present. Up to this point, the only forced response we have considered is that due to dc sources. Another very common forcing function is the sinusoidal waveform. This function describes the voltage available at household electrical sockets as well as the voltage of power lines connected to residential and industrial areas. In this chapter, we assume that the transient response is of little interest, and the steady-state response of a circuit (a television set, a toaster, or a power distribution network) to a sinusoidal voltage or current is needed. We will analyze such circuits using a powerful technique that transforms integrodifferential equations into algebraic equations. Before we see how that works, it’s useful to quickly review a few important attributes of general sinusoids, which will describe pretty much all currents and voltages throughout the chapter. • CHARACTERISTICS OF SINUSOIDS Phasor Representation of Sinusoids Converting Between the Time and Frequency Domains Impedance and Admittance Reactance and Susceptance Parallel and Series Combinations in the Frequency Domain Determination of Forced Response Using Phasors Application of Circuit Analysis Techniques in the Frequency Domain Consider a sinusoidally varying voltage v(t) = Vm sin ωt shown graphically in Figs. and b. The amplitude of the sine wave is Vm , and the argument is ωt. The radian frequency, or angular frequency, is ω. In Fig. , Vm sin ωt is plotted as a function of the argument ωt, and the periodic nature of the sine wave is .
