Magnetomotive Force Converter

Convert between ampere turn (At), gilbert (Gi), and other magnetomotive force units with scientific precision.

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Magnetomotive Force Units Explained

Ampere Turn (At)

The SI unit of magnetomotive force, defined as the magnetic potential difference across a circuit with one ampere of current flowing through one complete turn of a coil. 1 At = 1 ampere × 1 turn.

Common uses: Electromagnetics, transformer design, relay calculations, magnetic circuit analysis, inductor specifications.

Kiloampere Turn (kAt)

One thousand ampere turns. 1 kAt = 1,000 At. Used for higher magnetomotive force values in large electrical machinery.

Application: Large power transformers, industrial electromagnets, and high-powered electrical equipment.

Milliampere Turn (mAt)

One thousandth of an ampere turn. 1 mAt = 0.001 At. Used for small signal applications and sensitive magnetic devices.

Application: Small electromagnets, magnetic sensors, low-power relay coils, and precision magnetic instruments.

Abampere Turn (abAt)

A CGS (centimeter-gram-second) unit of magnetomotive force. 1 abAt = 10 At. Historical unit still found in older electromagnetic literature.

Historical context: Part of the CGS-EMU system, largely replaced by SI units in modern engineering practice.

Gilbert (Gi)

A CGS unit of magnetomotive force, approximately 1 Gi ≈ 0.796 At (or 1 At ≈ 1.256637 Gi). Named after physicist William Gilbert.

Relationship: The gilbert is based on the magnetomotive force required to produce a magnetic field of one oersted in a one-centimeter magnetic circuit.

Magnetomotive Force Applications & Context

  • Transformer design: Typically ranges from thousands to millions of ampere turns depending on power rating
  • Electromagnetic relays: Usually 100-10,000 At for activation
  • MRI machines: Superconducting coils generate fields with millions of ampere turns
  • Electric motors: Stator coils produce magnetomotive force to drive rotor rotation
  • Magnetic circuits: MMF follows Ampere's Law: F = N × I (number of turns × current)