Pi Attenuator Calculator

Enter your Characteristic Impedance (Z₀) and desired Attenuation (dB) to calculate the resistor values for your Pi Attenuator network — the calculator returns R1, R2, and the Attenuation Ratio (K) so you can size your shunt and series resistors without the manual math.

Ω

System impedance, typically 50Ω or 75Ω

dB

Desired signal attenuation in decibels

Results

R1 Resistance

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R2 Resistance

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Attenuation Ratio (K)

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Pi Attenuator Resistor Values

Frequently Asked Questions

How to use this pi attenuator calculator?

Enter the characteristic impedance (typically 50Ω or 75Ω) and desired attenuation in dB. The calculator will compute the required R1 and R2 resistor values for your pi attenuator circuit.

What is a pi attenuator?

A pi attenuator is a resistive network shaped like the Greek letter π, consisting of two series resistors (R1) and one shunt resistor (R2). It reduces signal amplitude while maintaining impedance matching.

What are typical characteristic impedance values?

Common values are 50Ω for RF systems and test equipment, and 75Ω for video and cable TV applications. Some specialized systems use other values like 25Ω or 100Ω.

How do I calculate the attenuation ratio K?

The attenuation ratio K is calculated as 10^(dB/20), where dB is the desired attenuation. For example, 20 dB attenuation gives K = 10.

What is the formula for pi attenuator resistors?

R1 = Z₀ × (K+1)/(K-1) and R2 = Z₀ × (K²-1)/(2K), where Z₀ is characteristic impedance and K is the attenuation ratio.

Can I use standard resistor values?

Yes, you should select the closest standard resistor values to the calculated results. Small deviations typically have minimal impact on performance.

What are the applications of pi attenuators?

Pi attenuators are used in RF circuits for signal level adjustment, impedance matching, isolation between circuit stages, and reducing reflections in transmission lines.

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