Try it

VinCVoutR

C blocks the lows, R defines Vout - highs pass through relatively unblocked

Cutoff frequency995 Hz

Understand the result

What's going on

A high pass filter is a gatekeeper for frequency: signals above a certain pitch sail through mostly untouched, while anything below that pitch gets weaker the lower it goes. It’s the circuit behind stripping DC offset or hum out of an audio signal.

The formula

fc = 1 / (2π × R × C)

fc is the cutoff frequency in Hz, R in ohms, C in farads.

Show the derivation, mnemonic, and worked example

Build it up

Build it from a capacitor and a resistor in series, and take the output across the resistor. A capacitor’s resistance to AC (its reactance) drops as frequency rises - so at high frequency the capacitor barely blocks anything, and most of the signal reaches the resistor’s output. At low frequency the capacitor’s reactance climbs and starts eating the signal before it gets there. The cutoff frequency is the point where the resistor and the capacitor are fighting the signal equally.

Worked example

Worked example

R = 1.6 kΩ, C = 100 nF

fc = 1 / (2π × 1,600 × 1e-7)

fc ≈ 995 Hz