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Impedance defines the voltage/current characteristic of any dipole circuit.

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How does Ohm's law extend to Z if Z is complex?

&= \underbrace{\frac{1}{i\omega C}}_{Z_C}\tilde{I} & \tilde{V}_R &= \underbrace{R}_{Z_R}\tilde{I} & \tilde{V}_L &= \underbrace{i\omega L}_{Z_L} \tilde{I} \end{align}$$ This is the origin of complex impedance
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