Convert Abamperes per Centimeter to Amperes per Inch
Abampere per Centimeter (abA/cm) to Ampere per Inch (A/in) linear current density conversion — enter any value below to get an instant result, or use the table for common values.
Results from this calculator are estimates provided for general informational purposes only, based on formulas, rates, and standards commonly accepted as of 2026. Figures may differ slightly from other calculators or professional sources due to rounding methods, differing assumptions, or regional regulations, and rules may change over time. Always consult a qualified professional — such as a financial advisor, healthcare provider, or other relevant specialist — before making decisions based on these results.
Result
1 abA/cm = 25.4 A/in
1 Abampere per Centimeter = 25.4 Amperes per Inch
1 Ampere per Inch = 0.039370079 Abamperes per Centimeter
1 abA/cm in every supported unit
Conversion chart: Abampere per Centimeter to Amperes per Inch
Conversion table
| Abampere per Centimeter (abA/cm) | Ampere per Inch (A/in) |
|---|---|
| 0.01 abA/cm | 0.254 A/in |
| 0.1 abA/cm | 2.54 A/in |
| 1 abA/cm | 25.4 A/in |
| 2 abA/cm | 50.8 A/in |
| 3 abA/cm | 76.2 A/in |
| 5 abA/cm | 127 A/in |
| 10 abA/cm | 254 A/in |
| 20 abA/cm | 508 A/in |
| 50 abA/cm | 1270 A/in |
| 100 abA/cm | 2540 A/in |
| 1000 abA/cm | 25400 A/in |
Abampere per Centimeter (abA/cm)
Definition: A pure CGS-electromagnetic-system unit of linear current density — the abampere per centimeter, combining CGS current and CGS length consistently within the same unit family.
History: Descended directly from the 19th-century CGS-EMU system, in which both current (the abampere) and length (the centimeter) were expressed in native CGS terms rather than mixing in SI quantities.
Current use: Occasionally seen in classic electromagnetism textbooks that work examples entirely within the Gaussian/CGS unit system.
Ampere per Inch (A/in)
Definition: The US customary version of linear current density, expressing current per inch of length rather than per meter.
History: Used historically in American and British electrical engineering practice, where winding densities and current sheet dimensions were traditionally specified in inches rather than metric units.
Current use: Occasionally found in legacy US and UK electromagnet and motor-winding specifications quoting current per inch of coil length.
Supported Units
| Unit | Symbol | In Ampere/Meter |
|---|---|---|
| Ampere per Meter | A/m | 1 A/m |
| Ampere per Centimeter | A/cm | 100 A/m |
| Ampere per Inch | A/in | 39.370079 A/m |
| Abampere per Meter | abA/m | 10 A/m |
| Abampere per Centimeter | abA/cm | 1000 A/m |
| Abampere per Inch | abA/in | 393.70079 A/m |
| Oersted | Oe | 79.577472 A/m |
| Gilbert per Centimeter | Gi/cm | 79.577472 A/m |
About These Parameters
- Value
- The linear current density value you want to convert, expressed in the "From" unit. Accepts decimals, and can represent anything from a small solenoid's winding density to a magnetic recording material's coercivity rating.
- From Unit
- The unit your input value is currently measured in — a modern calculation's ampere-per-meter figure, or a magnetics datasheet's oersted or gilbert-per-centimeter rating.
- To Unit
- The unit you want the result converted into. Use the swap button to flip From and To instantly, which is handy when translating an oersted-based magnetics spec into the modern SI ampere per meter or vice versa.
How Linear Current Density Conversion Works
The Formula
Every unit here is defined by a fixed multiplier relative to ampere per meter. To convert a value from one unit to another:
result = value × (factor of "From" unit ÷ factor of "To" unit)
For Abampere per Centimeter → Ampere per Inch: multiply by 25.4. For example, 1 abA/cm × 25.4 = 25.4 A/in.
Ampere per Meter and Magnetic Field Strength
Ampere per meter is not just an abstract "current spread over a length" unit — it is literally the SI unit of magnetic field strength H, the quantity that describes how strongly a current magnetizes the space around it, independent of the material present. Wrapping a wire N times around a core carrying current I produces a field strength directly related to N × I divided by the length of the winding, expressed in amperes per meter. For decades before SI unification, magnetics engineers instead worked in oersteds and gilberts per centimeter — CGS-Gaussian units that remain deeply embedded in the magnetics industry even today, which is why permanent-magnet and recording-media coercivity is still commonly rated in oersteds on otherwise SI-based datasheets.
Oersted and Gilbert per Centimeter
The oersted (named after Hans Christian Ørsted, who discovered electromagnetism in 1820) and the gilbert per centimeter (named after William Gilbert, the pioneering 16th-century researcher of magnetism) are numerically identical CGS-Gaussian units, both equal to about 79.577 A/m. They express the same underlying magnetic field strength concept from two angles: the oersted was defined directly as a CGS field-strength unit, while the gilbert per centimeter arrives at the same value by dividing the gilbert (a unit of magnetomotive force, the magnetic analogue of electromotive force) by a centimeter of magnetic path length.
Example
A linear current density of 1 abA/cm equals 25.4 A/in. For scale, a small electromagnet coil might operate around a few hundred ampere-turns per meter, while a magnetic recording medium's coercivity is often rated in the hundreds to low thousands of oersteds.
Frequently Asked Questions
How many Amperes per Inch are in 1 Abampere per Centimeter?
1 Abampere per Centimeter (abA/cm) equals exactly 25.4 Amperes per Inch (A/in).
What is linear current density used for?
Linear current density (ampere per meter) describes electric current distributed along a length — for example, the turns of a solenoid winding or the edge of a current sheet — and is also the SI unit of magnetic field strength H, used to calculate how strongly a coil or current sheet magnetizes the surrounding space.
Why are oersted and gilbert per centimeter numerically equal?
Both units come from the same CGS-Gaussian unit system and describe magnetic field strength from equivalent definitions — the oersted directly, and the gilbert per centimeter as magnetomotive force divided by path length. Since the CGS system defines the gilbert and oersted consistently with each other, dividing gilberts by centimeters always produces a value numerically equal to the oersted.
Why do magnetics datasheets still use oersteds instead of SI units?
The oersted became deeply embedded in the magnetics and recording-media industries throughout the 20th century, and coercivity specifications for permanent magnets, magnetic tape, and hard-disk media continue to be quoted in oersteds by industry convention, even though the equivalent SI ampere-per-meter value is equally valid.
How does abampere per meter differ from ampere per meter?
Abampere per meter uses the CGS-electromagnetic current unit (the abampere, equal to 10 amperes) divided by an SI meter, making it exactly 10 times larger than ampere per meter for the same physical current distribution. It is a hybrid unit rarely used outside older transitional scientific literature.