Pi Attenuator Calculator
This Pi attenuator calculator works out the three resistor values needed to build a symmetric Pi-pad, a small resistor network shaped like the Greek letter Pi that reduces a signal by an exact number of decibels while keeping the source and load impedance matched, so no signal reflects back down the line. It is widely used in radio, test and communications equipment to set precise signal levels. You enter the attenuation you want in decibels and the system impedance in ohms, typically 50 ohms for RF work or 75 ohms for video and aerial systems. From these the calculator finds the voltage ratio K, equal to ten to the power of the decibels divided by twenty, then applies the Pi-pad formulas to return the single series resistor and the two equal shunt resistors, plus the K value so you can check the maths. Because a Pi-pad only matches impedance at one attenuation, changing the dB figure changes all three resistor values, so recalculate whenever your requirement changes. The calculator assumes ideal resistors and rounds results for display, so pick the nearest standard value once you have a figure, and expect the real attenuation to drift slightly from the ideal, especially at higher frequencies. It suits students, hobbyists and engineers who need a reliable Pi-pad design without the algebra, and results are an engineering estimate rather than a certified design value.
The formula
Let K = 10 to the power (dB / 20). For a symmetric Pi-pad of impedance Z0, the series resistor is R2 = Z0 (K squared minus 1) / (2K), and the two shunt resistors are each R1 = Z0 (K + 1) / (K minus 1).
Worked example
For 6 dB at 50 ohms, K = 10 to the 0.3 = 1.995, so the series resistor is about 37.3 ohms and each shunt resistor about 150.5 ohms. Enter 6 and 50 to confirm.
Frequently asked questions
What is a Pi attenuator?
A three-resistor network (one series, two shunt) shaped like the Greek letter Pi that attenuates a signal while matching impedance.
What does K mean?
The voltage ratio of the attenuation, K = 10 to the power of the decibels divided by 20.
When use Pi instead of T?
Both achieve the same attenuation and matching; the choice often comes down to which resistor values are more convenient.
Who this calculator is for
This calculator is for electronics students, hobbyists and engineers.
What this calculator assumes
- You enter values in the units shown.
- Ideal components are assumed.
- Results are rounded for display.
Formula and sources
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