LC Filter (Low-pass / High-pass)

Analyze second-order LC response in time and frequency domain

Calculator Mode

Analysis ModeEvaluate response from known L and C valuesDesign ModeFind L and C for target f₀

Parameters

Configure LC filter parameters

Filter Topology

Output across capacitor in series RLC branch

Inductance

Capacitance

Damping Resistance (R_d)

Input Voltage (V_in)

Results

Enter parameters to see LC filter calculation results.

LC High-pass Filter

High-pass filter: Output is measured on the inductor in a damped series RLC branch. This topology attenuates low-frequency content and passes higher frequencies. The resonance point is defined by f₀ = 1/(2pi*sqrt(LC)).

H(j\omega) = \frac{-\omega^2LC}{1 - \omega^2LC + j\omega C R_d}, \quad f_0 = \frac{1}{2\pi\sqrt{LC}}

Where:

V_{in}

= Input voltageV

L

= InductanceH

C

= CapacitanceF

R_d

= Damping resistanceOhm

f_0

= Natural resonance frequencyHz