Try it

VinRVoutC

R and C in series - Vout is read across C, so lows pass and highs get shorted to ground

Cutoff frequency995 Hz

Understand the result

What's going on

A low pass filter is a high pass filter’s mirror image: low frequencies pass through mostly untouched, and anything above the cutoff gets progressively weaker. It’s the circuit behind smoothing out a jittery sensor reading or knocking the buzz out of a PWM signal before it reaches an amplifier.

The formula

fc = 1 / (2π × R × C)

Identical formula to the high pass filter - only the output tap point differs.

Show the derivation, mnemonic, and worked example

Build it up

Same resistor and capacitor in series as a high pass filter - the only change is which component you read the output across. Take it across the capacitor instead of the resistor, and the behavior flips: at low frequency the capacitor’s reactance is high, so it happily passes the voltage through to the output; at high frequency its reactance drops, and it starts shorting the signal to ground instead of letting it reach the output.

Worked example

Worked example

R = 1.6 kΩ, C = 100 nF

fc = 1 / (2π × 1,600 × 1e-7)

fc ≈ 995 Hz