Practical Electronics/Parallel LC

Summary

Circuit	Symbol	Series	Parallel
LC			200
Impedance	Z	$Z_{t}=\omega L+{\frac {1}{\omega C}}={\frac {\omega ^{2}LC+1}{\omega C}}$	$Z_{t}={\frac {\omega L}{\omega ^{2}LC+1}}$
Resonance Frequency	$\omega =\omega _{o}$ when $Z_{L}=Z_{C}$	$\omega L={\frac {1}{\omega C}}$ $\omega _{o}={\sqrt {\frac {L}{C}}}$	$\omega L={\frac {1}{\omega C}}$ $\omega _{o}={\sqrt {\frac {L}{C}}}$
Voltage	V	$V=L{\frac {dI}{dt}}+{\frac {1}{C}}\int Idt$	$I={\frac {1}{L}}\int Vdt+C{\frac {dV}{dt}}$