Steinmetz's equation

proper noun

An empirical equation used to calculate the total power loss (core losses) per unit volume in magnetic materials when subjected to external sinusoidally varying magnetic flux: P_v=k·fᵃ·Bᵇ where P_v is the time average power loss per unit volume in milliwatts per cubic centimeter, f is frequency in kilohertz, and B is the peak magnetic flux density; k, a, and b, called the Steinmetz coefficients, are material parameters generally found empirically from the material's B-H hysteresis curve by curve fitting.

Meanings

proper noun
  1. An empirical equation used to calculate the total power loss (core losses) per unit volume in magnetic materials when subjected to external sinusoidally varying magnetic flux: P_v=k·fᵃ·Bᵇ where P_v is the time average power loss per unit volume in milliwatts per cubic centimeter, f is frequency in kilohertz, and B is the peak magnetic flux density; k, a, and b, called the Steinmetz coefficients, are material parameters generally found empirically from the material's B-H hysteresis curve by curve fitting.

    Synonyms: power equation

Synonyms & antonyms

proper nounAn empirical equation used to calculate the total power loss (core losses) per unit volume in magnetic materials when subjected to external sinusoidally varying magnetic flux: P_v=k·fᵃ·Bᵇ where P_v is the time average power loss per unit volume in milliwatts per cubic centimeter, f is frequency in kilohertz, and B is the peak magnetic flux density; k, a, and b, called the Steinmetz coefficients, are material parameters generally found empirically from the material's B-H hysteresis curve by curve fitting.

Origin

Named after Charles Proteus Steinmetz, who proposed a similar equation on which this was based.

Full word history & related roots →
Cite this entry
APA

Steinmetz's equation. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Steinmetz's%20equation

MLA

“Steinmetz's equation.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Steinmetz's%20equation. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Steinmetz's equation,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Steinmetz's%20equation.

Source: Steinmetz's equation on Wiktionary, CC BY-SA 4.0.