Abstract

This chapter discusses circuits containing resistance R, capacitance C, and inductance L. All practical circuits possess some resistance, capacitance, and inductance whether by design or because of imperfections in the components, so it is of considerable importance to be able to solve such networks. However, any network can be broken down into simpler components that may be considered equivalent to perfect components in series or parallel so that the imperfect resistor can be represented by a combination of resistor, inductor, and capacitor. It will always be possible at a given frequency to represent any complex network by a simple one containing a resistor and either an inductor or a capacitor, or, in the special case when the two cancel completely, by a resistor alone. Practical inductances and capacitances have some inherent resistance so that for an actual combination of these components, there would be a circuit for two such components in parallel.

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