Notch Filter Calculator Formula

Understand the math behind the notch filter calculator. Each variable explained with a worked example.

Formulas Used

Notch Frequency

notch_freq = 1 / (2 * pi * sqrt(l_h * c_f))

Variables

VariableDescriptionDefault
inductance_mhInductance(mH)1
capacitance_nfCapacitance(nF)10
l_hDerived value= inductance_mh / 1000calculated
c_fDerived value= capacitance_nf / 1000000000calculated

How It Works

Notch (Band-Reject) Filter

f_notch = 1 / (2pi x sqrt(LC))

A notch filter rejects a narrow band of frequencies while passing all others. The rejection frequency uses the same LC resonance formula.

Worked Example

L=1 mH, C=10 nF to reject interference.

inductance_mh = 1capacitance_nf = 10
  1. 01f_notch = 1 / (2pi x sqrt(0.001 x 1e-8))
  2. 02f_notch = 50,329 Hz

Ready to run the numbers?

Open Notch Filter Calculator