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First-Order Filter Comparison

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Description

This MicroSim compares all four first-order filter topologies — RC Low-Pass, RC High-Pass, RL Low-Pass, and RL High-Pass — on the same Bode plot.

Key insight: RC and RL filters with the same cutoff frequency produce identical frequency response curves. The difference is only in which components are used.

Filter Output tap Cutoff formula
RC Low-Pass Across C \(f_c = \frac{1}{2\pi RC}\)
RC High-Pass Across R \(f_c = \frac{1}{2\pi RC}\)
RL Low-Pass Across R \(f_c = \frac{R}{2\pi L}\)
RL High-Pass Across L \(f_c = \frac{R}{2\pi L}\)

Controls: - f\(_c\) slider: Set target cutoff frequency (100 Hz – 10 kHz) - R slider: Set resistance (100 Ω – 10 kΩ); C and L are auto-calculated - Toggle buttons: Show all four filters, RC only, or RL only - Component table: Displays the calculated R, C, and L values for each topology