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Electronics Handbook/Circuits/LC Series

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LC Series Configuration

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Picture

Circuit Analysis

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Circuit's Impedance

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Z = ω L /_90 + /_-90
Z = Z_L - Z_C/_90
Z = Z_C - Z_L/_-90
Z = 0 /_ 0

Natural Response

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s = ± = ± j

The Second Ordered Equation has two imaginary roots

The natural response of the LC series is a Sinusoidal Wave . Therefore, LC series can be used as a Sin Wave Oscillator

Resonance Response

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Resonance occurs in the circuit when


At Resonance, the LC series has the capability to generate Standing Wave Oscillation

Summary

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LC series has a second order equation of current with two imaginaries roots

Which generates Sin Wave Oscillation

T = LC

At resonance, Impedance of Inductor and Capacitor cancel out

ZL = ZC

Which generates Standing Wave Oscillation