RLC Circuit

Magnetic Energy in the Inductor

$$ \large M = \frac{1}{2} L I^2 $$

Resonance

When the complex impedence is zero,

$$ \large X_L = X_C \quad \Leftrightarrow \quad \omega L = \frac{1}{\omega C} $$

Thus,

$$ \large \omega = \frac{1}{\sqrt{LC}} $$
  • Current is maximized

High-pass Filter

Low-pass Filter

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