Convert Ampere-Turn to Gilbert
Live bidirectional calculator for Ampere-Turns (At) and Gilberts (Gb) with verified formula and conversion charts.
Magnetomotive Force3 units
How the Calculation Works (Linear Scaling)
Since 1 Ampere-Turn = 1.256637 Gilberts, multiply the value in Ampere-Turns by 1.256637.
Ampere-Turn to Gilbert Conversion Table
Precomputed values for quick reference and printing.
| Ampere-Turn | Gilbert |
|---|---|
| 1 At | 1.2566 Gb |
| 2 At | 2.5133 Gb |
| 3 At | 3.7699 Gb |
| 4 At | 5.0265 Gb |
| 5 At | 6.2832 Gb |
| 6 At | 7.5398 Gb |
| 7 At | 8.7965 Gb |
| 8 At | 10.0531 Gb |
| 9 At | 11.3097 Gb |
| 10 At | 12.5664 Gb |
| 15 At | 18.8496 Gb |
| 20 At | 25.1327 Gb |
| 25 At | 31.4159 Gb |
| 30 At | 37.6991 Gb |
| 40 At | 50.2655 Gb |
| 50 At | 62.8319 Gb |
| 75 At | 94.2478 Gb |
| 100 At | 125.6637 Gb |
| Gilbert | Ampere-Turn |
|---|---|
| 1 Gb | 0.7958 At |
| 2 Gb | 1.5915 At |
| 3 Gb | 2.3873 At |
| 4 Gb | 3.1831 At |
| 5 Gb | 3.9789 At |
| 6 Gb | 4.7746 At |
| 7 Gb | 5.5704 At |
| 8 Gb | 6.3662 At |
| 9 Gb | 7.162 At |
| 10 Gb | 7.9577 At |
| 15 Gb | 11.9366 At |
| 20 Gb | 15.9155 At |
| 25 Gb | 19.8944 At |
| 30 Gb | 23.8732 At |
| 40 Gb | 31.831 At |
| 50 Gb | 39.7887 At |
| 75 Gb | 59.6831 At |
| 100 Gb | 79.5775 At |
π Standard Benchmark Reference Values
Exact CGS-emu to SI relationship: 1 gilbert = 10 / (4Ο) ampere-turns.
Exact RatioAbout Ampere-Turn (At)
The SI coherent unit of magnetomotive force (mmf), defined as the magnetic potential difference produced by a direct current of one ampere flowing through an electric coil of one turn (β± = N Β· I). Dimensionally equal to the ampere (I).
History: Introduced in early electrical engineering (Hopkinson and Steinmetz) to establish the magnetic circuit analogue to electromotive force in Ohmβs law for magnetic circuits (Hopkinsonβs law: β± = Ξ¦ Β· β).
Common Uses: Transformer core excitation design, electric motor and generator field winding mmf, relay coil pull-in specifications.
About Gilbert (Gb)
The CGS electromagnetic unit of magnetomotive force, defined as the mmf around a closed loop enclosing a current of 1 abampere (10 A) times 1/(4Ο), giving exactly 10 / (4Ο) ampere-turns (~0.795775 At).
History: Named in 1930 by the IEC in honor of English natural philosopher William Gilbert (1544β1603), author of De Magnete and pioneer of terrestrial magnetism.
Common Uses: Legacy electromagnetic literature, historical magnetic material B-H loop data in CGS-emu units.
β Frequently Asked Questions
How many Gilberts are in 1 Ampere-Turn?
There are exactly 1.256637 Gilberts in 1 Ampere-Turn (1 At = 1.256637 Gb).
What is the formula to convert Ampere-Turn to Gilbert?
The formula is: Gilbert = Ampere-Turn Γ 1.256637. Since 1 Ampere-Turn = 1.256637 Gilberts, multiply the value in Ampere-Turns by 1.256637.
How do I convert 1 At to Gb manually?
To convert 1 At to Gb: apply the formula Gilbert = Ampere-Turn Γ 1.256637. Substituting gives: 1 Γ 1.256637 = 1.2566 Gb.