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T Attenuator

Resistor values for a T pad of given attenuation and impedance.

InputR_series = Z(k−1)/(k+1) R_shunt = 2Zk/(k²−1), k = 10^(dB/20)

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The engineering

The Pi pad's dual — series-shunt-series. Identical match and loss; pick whichever suits the layout and the resistor values you can actually buy.

For very low attenuation the T's series values get tiny and tolerance-dominated; Pi behaves better there.

Where this math comes from

Same Bell System image-parameter lineage as the Pi pad — Campbell and Zobel's 1920s toolkit for building networks that stay matched from both directions. T and Pi are the two canonical three-element solutions to the same pair of equations.

Broadcast and telephone plants standardized on decade boxes of these pads long before coax connectors existed.

  1. 1920George CampbellTwo-port image design formalized.
  2. 1923Otto ZobelPad synthesis equations in modern form.

See the full timeline of the math behind every calculator →

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