Electronics Handbook/Circuits/LC Series

LC Series Configuration Picture Circuit Analysis Circuit's Impedance Z = ω L /_90 + /_-90 Z = Z_L - Z_C/_90 Z = Z_C - Z_L/_-90 Z = 0 /_ 0 Natural Response 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 Resonance occurs in the circuit when At Resonance, the LC series has the capability to generate Standing Wave Oscillation Summary 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