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