LC Resonant Circuit (Note: Low Pass RC/RL are more common as simple filters)
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(Calculation outputs would typically drive a plot here)
Low Pass Filter Explanation
A Low Pass Filter allows low-frequency signals to pass through while attenuating (reducing the amplitude of) high-frequency signals.
The cutoff frequency (often denoted as f\_c) is the point where the output power has dropped to half the input power (-3 dB point).
RC Low Pass Filter: Consists of a Resistor (R) and a Capacitor (C) in series with the output taken across the capacitor. The cutoff frequency is calculated as f\_c \= \\frac\{1\}\{2\\pi RC\}.
RL Low Pass Filter: Consists of a Resistor (R) and an Inductor (L) in series with the output taken across the resistor. The cutoff frequency is calculated as f\_c \= \\frac\{R\}\{2\\pi L\}.
LC Circuit: While LC circuits are used in filters (like higher-order filters), the simple first-order LC arrangement calculates a resonant frequency rather than a standard cutoff frequency. The resonant frequency is calculated as f\_r \= \\frac\{1\}\{2\\pi\\sqrt\{LC\}\}.