ElectroCalc

Pi & T Attenuator Calculator

Calculate resistor values for Pi and T resistive attenuator pads with E24 standard values.

Design Parameters

dB

Pi Attenuator Formulas

K = 10^(dB/20)R1 = R3 = Z0 · (K+1)/(K−1)R2 = Z0 · (K²−1)/(2K)

T Attenuator Formulas

R1 = R3 = Z0 · (K−1)/(K+1)R2 = 2 · Z0 · K/(K²−1)

Pi Attenuator Results

R1 = R3150.5 Ω
R1 = R3 (E24)150 Ω
R237.35 Ω
R2 (E24)36.0 Ω
K1.9953

T Attenuator Results

R1 = R316.61 Ω
R1 = R3 (E24)16.0 Ω
R266.93 Ω
R2 (E24)68.0 Ω

Circuit Diagrams

37.35 Ω150.5 Ω150.5 ΩR1R2R3INOUTπ Topology16.61 Ω16.61 Ω66.93 ΩR1R2R3INOUTT Topology

Pi vs T Attenuators: When to Use Each

A resistive attenuator is a passive network that reduces signal amplitude by a precise amount while maintaining the characteristic impedance of the system. Unlike a simple voltage divider, an attenuator is designed to present the correct impedance looking into both the input and output ports. This is critical in RF systems where impedance mismatches cause reflections and standing waves.

The Pi attenuator gets its name from its schematic shape resembling the Greek letter π. It uses two shunt resistors to ground (R1 and R3) and one series resistor (R2). The T attenuator uses two series resistors (R1 and R3) and one shunt resistor to ground (R2). Both topologies provide identical attenuation and impedance matching for the same design values.

In practice, Pi attenuators are preferred in microstrip and PCB layouts because the shunt resistors provide convenient ground connections and help with parasitic capacitance. T attenuators are often preferred in balanced (differential) lines and audio circuits. For attenuation values below 3 dB, the T topology typically yields more practical resistor values.

Key Points

  • Both Pi and T provide identical attenuation and impedance matching
  • Minimum practical attenuation is about 1 dB (below that, resistor values become extreme)
  • Pi topology is preferred for microstrip and PCB RF layouts
  • T topology is often better for balanced lines and audio
  • Use 1% or better tolerance resistors for precision attenuators

Applications

  • RF signal level adjustment (50Ω and 75Ω systems)
  • Audio mixing consoles and broadcast equipment
  • Test equipment signal conditioning
  • Impedance matching between stages
  • Reducing amplifier input overload
  • Cable TV signal level pads (75Ω)