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CHAPTER

Alternating-Current Circuit Analysis

WHEN YOU SEE AN AC CIRCUIT THAT CONTAINS COILS AND/OR CAPACITORS, YOU CAN ENVISION A complex-number half-plane, either RX (resistance-reactance) or GB (conductance-susceptance). The RX half-plane applies to series circuit analysis. The GB half-plane applies to parallel circuit analysis.

Complex Impedances in Series

In any situation where resistors, coils, and capacitors are connected in series, each component has an impedance that we can represent as a vector in the RX half-plane. The vectors for resistors remain constant regardless of the frequency. But the vectors for coils and capacitors vary as the frequency increases or decreases.

Pure Reactances

Pure inductive reactance (XL) and capacitive ...

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