Practical Electronics/Series LC

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Summary[edit]

Circuit Series LC
LC
RLC series circuit.png
Impedance Z = j\omega L + \frac{1}{j\omega C} = \frac{j\omega^2 LC + 1}{j\omega C}
Differential Equation L\frac{dI}{dt} + \frac{1}{C}\int I dt = 0
Root of the Equation I = A Sin \omega t
\omega \omega = \sqrt{\frac{1}{LC}}
Resonance
Z_L - Z_C = 0 . V_L + V_C = 0
Z_L - Z_C = 0
\omega L = \frac{1}{\omega C}
\omega = \sqrt{\frac{1}{LC}} . V_L  = -V_C
At Resonance, the response of the circuit is Standing Wave