Electrical impedance is the ratio of voltage and current complex amplitudes for sinusoidal steady response at a specified angular frequency. With time dependence , an ideal resistor, inductor and capacitor have , and . Their electrical impedances add in a series RLC circuit, giving . The current amplitude is , so cancellation of the imaginary terms explains the resonant series RLC response. [ref].
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Electrical impedance is a measure of the opposition that a circuit presents to the flow of alternating current (AC) or varying direct current (DC). It encompasses not only the resistance (the opposition to direct current) but also the reactance, which accounts for the effects of capacitance and inductance in an AC circuit. ### Key Components of Impedance: 1. **Resistance (R)**: The real part of impedance, measured in ohms (Ω).
Ciro Santilli distinctly remembers being taught that at basic electrical engineering school during Ciro Santilli's undergrad studies at the University of São Paulo.
It really allows you to do alternating current calculations much as you'd do DC calculations with resistors, quite poweful. It must have been all the rage in the 1950s.