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Magnetomotive Force Converter

Science

Convert magnetomotive force between ampere-turns, kiloampere-turns, and gilberts instantly — used for electromagnet and transformer design work.

Reviewed by the thecalcu.com team · Last updated July 23, 2026

From
To
All conversionsfor 1 Gilbert (Gb)
Kiloampere-Turns (kAt)0.0007957747
Ampere-Turns (At)0.7957747
Gilbert (Gb)1

What is a Magnetomotive Force?

The Magnetomotive Force Converter converts magnetomotive force between ampere-turns, kiloampere-turns (SI), and gilberts (the legacy CGS unit). Magnetomotive force measures the magnetic driving force that produces flux in a magnetic circuit, the magnetic analogue of voltage in an electrical circuit, and a key quantity in electromagnet, transformer, and motor field winding design.

Enter a value in any supported unit and the converter calculates the equivalent instantly. For the related field-strength quantity, see the Magnetic Field Strength Converter.

Why Use a Magnetomotive Force Converter?

Modern electromagnetic design references almost universally use ampere-turns, but older scientific literature and some specialised magnetics references still use the CGS gilbert unit. Comparing or combining data across these sources requires accurate conversion between the two systems.

Who Should Use This Converter?

  • Electromagnet and solenoid design engineers calculating required coil turns and current for a target magnetic driving force.
  • Transformer and inductor core designers working through magnetic circuit calculations.
  • Motor design engineers calculating field winding magnetomotive force requirements.
  • Physics and electrical engineering students working with magnetic circuit problems that reference older CGS-based literature.

What Insights Does the Magnetomotive Force Converter Give You?

The main output is the converted value in your chosen target unit, calculated precisely from the fixed multiplier relationship between units. Because magnetomotive force values vary enormously by application, from a few ampere-turns for small relays to thousands for industrial electromagnets, the converter helps confirm a value is realistic for the type of device involved.

How to use this Magnetomotive Force calculator

  1. Choose your starting unit from the source dropdown, for example, "Gilbert (Gb)".
  2. Enter the numeric value you want to convert in the input field.
  3. Choose your target unit from the destination dropdown, for example, "Ampere-Turns (At)".
  4. Read the converted result, which updates instantly as you type or change units.
  5. Use the swap (⇅) button if you need to reverse the conversion direction.
  6. Use the copy button to grab the result for an electromagnet or transformer design calculation.
Show formula & methodology ↓Show less ↑

Formula & Methodology

The converter's base unit is ampere-turns (At). Every supported unit has a fixed multiplier:

- 1 kiloampere-turn (kAt) = 1,000 At
- 1 gilbert (Gb) ≈ 0.7957747 At

Any conversion follows:

Result = Input × (toBase of source unit ÷ toBase of target unit)

Worked example, converting 100 ampere-turns to gilberts:

Result = 100 × (1 ÷ 0.7957747) = 125.66 gilberts

This is the equivalent value you'd see in a CGS-based physics or older engineering reference.

Related Tools

You may also find these useful: Electric Current Converter, CGS to SI Units Converter.

Frequently Asked Questions

What is magnetomotive force?
Magnetomotive force (MMF) measures the magnetic driving force that produces magnetic flux in a magnetic circuit, expressed in ampere-turns, it's the magnetic analogue of electromotive force (voltage) in an electrical circuit, calculated as current multiplied by the number of coil turns producing the field.
How do I convert ampere-turns to gilberts?
Divide the ampere-turn value by 0.7957747, since one gilbert equals approximately 0.7957747 ampere-turns. Enter your value with 'Ampere-Turns (At)' as the source and 'Gilbert (Gb)' as the target to apply this automatically.
Why is magnetomotive force measured in 'ampere-turns' rather than just amperes?
Magnetomotive force depends on both the current flowing through a coil and how many times that coil is wound around the magnetic core, a coil with more turns produces more magnetic driving force for the same current, so the unit reflects both factors multiplied together.
What is a gilbert, and why does it still appear in some references?
The gilbert is the CGS unit of magnetomotive force, predating the more commonly used SI ampere-turn, it persists in some older scientific literature and specialised magnetics references, particularly those with historical ties to the CGS unit system.
How does magnetomotive force relate to magnetic field strength?
Magnetic field strength (in ampere-turns per metre) equals magnetomotive force divided by the length of the magnetic path, MMF is the total driving force, while field strength is that force distributed along the specific path length. See the [Magnetic Field Strength Converter](/magnetic-field-strength-converter/) for that related quantity.
How is magnetomotive force used in transformer and electromagnet design?
Transformer and electromagnet designers calculate required magnetomotive force to achieve a target magnetic flux through the core, then work backward to determine the necessary combination of coil turns and current to produce that MMF.
What is a typical magnetomotive force value for a small electromagnet?
This varies enormously by application, a small relay electromagnet might need only a few ampere-turns, while an industrial lifting electromagnet could require thousands of ampere-turns, so context determines what's typical for a specific design.
How does magnetomotive force relate to Ohm's law for magnetic circuits?
Magnetic circuits follow a formula analogous to Ohm's law, where magnetomotive force plays the role of voltage, magnetic flux plays the role of current, and reluctance (the magnetic circuit's resistance to flux) plays the role of electrical resistance.
Can magnetomotive force be negative?
The sign of magnetomotive force depends on the current direction and coil winding direction relative to a defined reference, in multi-coil magnetic circuits, MMF contributions can effectively add or oppose each other depending on these directional conventions.
What industries commonly need magnetomotive force unit conversion?
Electromagnet and solenoid design, transformer and inductor core design, and motor design (calculating field winding requirements) all routinely work with magnetomotive force calculations, occasionally needing conversion between the SI ampere-turn and legacy CGS gilbert units.
Also known as
magnetomotive force converterampere turn to gilbert convertermmf converterat to gb converterelectromagnet mmf calculator