谭薇的老公叶晓图片:Complex Impedance

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Use of Complex Impedance
The handling of theimpedance of an AC circuit with multiple components quickly becomes unmanageable if sines and cosines are used to represent the voltages and currents. A mathematical construct which eases the difficulty is the use of complex exponential functions. The basic parts of the strategy are as follows:
Euler relationPolar form ofcomplex number

Impedance combinationsPhasor diagrams
RL and RC combinationsExample for parallel elements
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AC circuit concepts
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Complex Impedance for RL and RC

Usingcomplex impedance is an important technique for handling multi-component AC circuits. If a complex plane is used with resistance along the real axis then the reactances of thecapacitor andinductor are treated as imaginary numbers. For series combinations of components such as RL and RC combinations, the component values are added as if they were components of avector. Shown here is the cartesian form of the complex impedance. They can also be written inpolar form. Impedances in this form can be used as building blocks for calculating the impedances of combination circuits like the RLC parallel circuit.
ImpedanceAC behavior of inductorAC behavior of capacitor
Index
AC circuit concepts
HyperPhysics***** Electricity and Magnetism R Nave
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Complex Impedance for RL and RC
This depicts thephasor diagrams andcomplex impedance expressions for RL and RC circuits in polar form. They can also be expressed incartesian form.
ImpedancePolar form of complex number
Index
AC circuit concepts
HyperPhysics***** Electricity and Magnetism R Nave
Go Back
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