What is Impedance? A 5 Minute Introduction

AI Thread Summary
Impedance is defined as a complex number Z = R + jX, where R represents resistance and X represents reactance in an AC circuit. It serves as the AC equivalent of resistance and is integral to Ohm's Law in AC systems, expressed as V_complex = I_complex Z. Impedance can also be represented in polar form as Z = |Z|e^{jφ}, indicating the relationship between voltage and current with a phase difference φ. Unlike pure resistances, impedance varies with frequency and is measured in ohms (Ω). Understanding impedance is crucial for analyzing AC circuits and their behavior.
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Definition/Summary
The impedance of a load (a combination of components) in an AC current is a complex number Z\ =\ R+jX where R is the resistance of the load and X is its reactance.
It can also be written in polar form: Z\ =\ |Z|e^{j\phi}, or as the phasor |Z|\angle\phi.
Impedance is the AC equivalent of resistance: it is used in the AC version of Ohm’s Law: V_{complex} =\ I_{complex}Z
(or (V_{max}/I_{max})\angle\phi =\ Z,\text{ where }\phi is the phase difference by which the voltage leads the current), and it obeys the same series or parallel combination laws as resistance does.
Impedance depends on frequency (except for pure resistances).
Impedance is measured in ohms (\Omega).
Equations
For a load across which the voltage leads the current by a phase angle \phi:
Z\ =\ |Z|cos\phi + j|Z|sin\phi\ =\ R+jX
(in polar form: Z\ =\ |Z|e^{j\phi})...

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