Fundamental Physics/Electricity/Electric Oscillation

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Electric Oscillation[edit]

Electric wave oscillation has been observed in series RLC circuit

RLC Series[edit]

Consider a circuit of 3 components L, C and R connected in series

RLC series circuit v1.svg

At equilibrium[edit]

Using laplace transform

1 real root .

2 real roots .

2 complex roots .

With

At resonance[edit]



 . capacitor opens circuit
 . 
 . inductor opens circuit

LC Series[edit]

Consider a circuit of 2 components L and C connected in series

LC parallel simple.svg

At equilibrium[edit]

Using laplace transform


Root of equation above


With



At resonance[edit]



Summary[edit]

Configuration Operation Mode Osicallation Equation Wave Function Angular frequency Time Constant Wave Form
LC series
LC parallel simple.svg
At equilibrium Oscillation is of the Sinusoidal wave
LC series At resonance
Oscillation is of the Sinusoidal standing wave
RLC series
RLC series circuit v1.svg
At equilibrium



Oscillation is of the Decay current sinusoidal oscillation wave
RLC series At resonance



Peak current sinusoidal oscillation wave