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Stylized blueprint portrait of Gustav Kirchhoff

Gustav Kirchhoff

1824 – 1887

His circuit laws, published at 21, make network analysis routine.

A German physicist who, at 21, published the circuit laws of current and voltage that make network analysis routine — then went on to found spectroscopy and coin the term 'black-body radiation.'

The voltage-divider, bridge, and every multi-node circuit tool here rely on Kirchhoff's laws. Few 21-year-olds have left a longer shadow.

Portrait: a stylized blueprint-line rendering, not a photograph.

Contributions in the toolbox

  1. 1845

    Circuit laws, published at age 21, formalize series-parallel analysis.

    Voltage Divider
  2. 1845

    Current law — why parallel conductances add.

    Parallel Resistors

Calculators built on this work

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