ABSTRACT

To explain the mathematical techniques which are used to analyse linear circuits containing resistive and reactive components and sinusoidal sources. This chapter introduces phasor diagrams, operator j, decibels and the principle of duality and to give examples of dual circuits. It explains the use of complex numbers to represent phasors and how a.c. circuits can be analysed using phasors. The chapter describes how Bode plots are used to display the frequency-response properties of linear circuits and amplifiers. It shows how to sketch approximations to the Bode plots of individual linear circuits and for circuits buffered by an ideal voltage amplifier. The chapter describes the frequency-response properties of electrical circuits containing resistance, capacitance and inductance. The phasors used in circuit analysis always represent sinusoidal voltages and currents. They can be conveniently referred to in writing as a magnitude followed by an angle.