Difference between revisions of "Impedance Analysis"
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The table below indicates the impedance values for different circuit elements. Here, <math>j</math> is the imaginary number and <math>\omega</math> is frequency in units of radians. Recall that <math>\omega = 2 \pi f</math>, where <math>f</math> is frequency in units of Hz. | The table below indicates the impedance values for different circuit elements. Here, <math>j</math> is the imaginary number and <math>\omega</math> is frequency in units of radians. Recall that <math>\omega = 2 \pi f</math>, where <math>f</math> is frequency in units of Hz. | ||
− | + | Derivation | |
+ | link to review of complex numbers | ||
{{Template:20.309 bottom}} | {{Template:20.309 bottom}} |
Revision as of 18:51, 21 July 2016
Overview
For analyzing the frequency response of circuits with various components, it is convenient to think of a generalized form of resistance, or opposition to current flow, known as impedance ($ Z $). Clearly, we know that a resistor's resistance to current flow is known by its resistance. Although capacitors and inductors don't technically have a "resistance" value, they do resist current flow in their own ways and we can call those their respective impedances. Thus, Ohm's law applies not only to resistances, but to impedances as well: $ V = I Z $, where $ V $ is the voltage drop across the components of interest, $ I $ is the current, and $ Z $ is the impedance of those components.
The table below indicates the impedance values for different circuit elements. Here, $ j $ is the imaginary number and $ \omega $ is frequency in units of radians. Recall that $ \omega = 2 \pi f $, where $ f $ is frequency in units of Hz.
Derivation link to review of complex numbers