Practical Electronics/Sin Wave Oscillator

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With an LC series

L \frac{dI}{dt} + \frac{1}{C} \int I dt = 0
\frac{d^2I}{dt} + \frac{1}{LC}  = 0
\frac{d^2I}{dt} + \frac{1}{LC}  = 0
\frac{d^2I}{dt} + \frac{1}{T}  = 0
s = \pm j \sqrt{\frac{1}{T}} t = \pm j \omega t
I = e^ (j\omega) t + e^-(j\omega) t
I = A Sin \omega t

The reponse of an LC series is a Sinusoidal Wave or LC series can be used to produce Sin Wave Oscillator