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🧲Magnetomotive Force Converter

Convert Gilbert to Ampere-Turn

Live bidirectional calculator for Gilberts (Gb) and Ampere-Turns (At) with verified formula and conversion charts.

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Magnetomotive Force3 units

πŸ”
πŸ’‘

How the Calculation Works (Linear Scaling)

Formula:
Ampere-Turn = Gilbert / 1.256637
Substitution:1 / 1.256637
Calculated Result:0.7958 At

Since 1 Ampere-Turn = 1.256637 Gilberts, divide the value in Gilberts by 1.256637.

Standard Ratio Factor:1 Gb = 0.795775 At

Gilbert to Ampere-Turn Conversion Table

Precomputed values for quick reference and printing.

Gilbert β†’ Ampere-Turn(Gb β†’ At)
GilbertAmpere-Turn
1 Gb0.7958 At
2 Gb1.5915 At
3 Gb2.3873 At
4 Gb3.1831 At
5 Gb3.9789 At
6 Gb4.7746 At
7 Gb5.5704 At
8 Gb6.3662 At
9 Gb7.162 At
10 Gb7.9577 At
15 Gb11.9366 At
20 Gb15.9155 At
25 Gb19.8944 At
30 Gb23.8732 At
40 Gb31.831 At
50 Gb39.7887 At
75 Gb59.6831 At
100 Gb79.5775 At
Ampere-Turn β†’ Gilbert(At β†’ Gb)
Ampere-TurnGilbert
1 At1.2566 Gb
2 At2.5133 Gb
3 At3.7699 Gb
4 At5.0265 Gb
5 At6.2832 Gb
6 At7.5398 Gb
7 At8.7965 Gb
8 At10.0531 Gb
9 At11.3097 Gb
10 At12.5664 Gb
15 At18.8496 Gb
20 At25.1327 Gb
25 At31.4159 Gb
30 At37.6991 Gb
40 At50.2655 Gb
50 At62.8319 Gb
75 At94.2478 Gb
100 At125.6637 Gb

πŸ“Œ Standard Benchmark Reference Values

1 Gb (gilbert)=β‰ˆ 0.795775 At

Exact CGS-emu to SI relationship: 1 gilbert = 10 / (4Ο€) ampere-turns.

Exact Ratio

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 (1544–1603), 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.

About 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 Ohm’s law for magnetic circuits (Hopkinson’s law: β„± = Ξ¦ Β· β„›).

Common Uses: Transformer core excitation design, electric motor and generator field winding mmf, relay coil pull-in specifications.

❓ Frequently Asked Questions

How many Ampere-Turns are in 1 Gilbert?

There are exactly 0.795775 Ampere-Turns in 1 Gilbert (1 Gb = 0.795775 At).

What is the formula to convert Gilbert to Ampere-Turn?

The formula is: Ampere-Turn = Gilbert / 1.256637. Since 1 Ampere-Turn = 1.256637 Gilberts, divide the value in Gilberts by 1.256637.

How do I convert 1 Gb to At manually?

To convert 1 Gb to At: apply the formula Ampere-Turn = Gilbert / 1.256637. Substituting gives: 1 / 1.256637 = 0.7958 At.