Electricity converters
Linear Current Density Converter
Convert linear current density units: current flowing per unit width.
Result
0.01 A/cm
1 A/m = 0.01 A/cm
All units for this value
| Unit | Symbol | Value |
|---|---|---|
| Ampere per meter | A/m | 1 |
| Ampere per centimeter | A/cm | 0.01 |
| Ampere per millimeter | A/mm | 0.001 |
| Kiloampere per meter | kA/m | 0.001 |
| Milliampere per meter | mA/m | 1000 |
| Ampere per inch | A/in | 0.0254 |
| Abampere per meter | abA/m | 0.1 |
| Abampere per centimeter | abA/cm | 0.001 |
| Abampere per inch | abA/in | 0.00254 |
About this calculator
Linear current density measures how much electric current flows across each unit of width along an edge or a line, a quantity used in busbar design and electromagnetic winding calculations. This converter switches between the SI unit ampere per meter and related metric, US, and CGS forms such as ampere per inch and abampere per centimeter.
How it works in plain English
Linear current density combines a current unit with a length unit into a single rate, and this converter anchors every entry to ampere per meter before rescaling to whichever unit you choose. Metric multiples such as kiloampere per meter and milliampere per meter follow ordinary factor-of-1000 steps, while ampere per centimeter and ampere per millimeter simply divide the length by 100 or 1000 respectively.
The US unit ampere per inch converts through the standard inch length of 0.0254 meters, so 1 A/in equals about 39.37 A/m. The CGS abampere is defined as exactly 10 amperes, so abampere per meter, abampere per centimeter, and abampere per inch each carry that factor of 10 in addition to their length scaling, which is why CGS-based readings look considerably larger than their SI equivalents for the same physical current.
Pick a from and to unit, enter a value, and the converted linear current density appears immediately, alongside a table listing that same value across every supported unit. A precision control sets how many decimal places are shown, and a swap button reverses the two selected units in a single click.
The formula
- value_in_target = value_in_source × (source factor to A/m) ÷ (target factor to A/m)
- 1 A/in = 1 ÷ 0.0254 = 39.3701 A/m
- 1 abA/m = 10 A/m
- 1 kA/m = 1000 A/m
Worked example
Suppose a busbar specification lists a current sheet of 800 A/in and an engineer needs that figure in A/m to compare against a metric datasheet. Multiplying by the conversion factor: 800 × 39.3701 = 31,496.1 A/m.
Entering 800 into the A/in field with A/m selected as the target returns about 31,496.1 A/m right away. The full unit table also reports this same value as roughly 31.5 kA/m and 314.96 A/cm, all computed from that single entry without any further calculation. Scanning the abampere-per-meter row shows about 3149.61 abA/m, illustrating how the CGS factor of 10 shifts the reading well below the plain ampere-per-meter figure for the same physical current sheet.
Linear current density unit factors
| Unit | Value in A/m |
|---|---|
| 1 ampere per meter (A/m) | 1 |
| 1 ampere per centimeter (A/cm) | 100 |
| 1 ampere per millimeter (A/mm) | 1,000 |
| 1 ampere per inch (A/in) | 39.3701 |
| 1 abampere per meter (abA/m) | 10 |
| 1 abampere per centimeter (abA/cm) | 1,000 |
Standard unit definitions
Frequently asked questions
What does linear current density actually describe?
It describes how much current is flowing per unit of width across a conductor edge, sheet, or coil winding, rather than the total current through a wire's cross-section. It's commonly used when current spreads across a wide flat conductor, such as a busbar or a current sheet in an electromagnet, where the width matters as much as the total current.
Why is the abampere unit so much larger numerically?
The abampere is a CGS electromagnetic unit defined as exactly 10 amperes, so any abampere-based unit already carries that factor of 10 before the length conversion is applied. This means abampere per meter equals 10 A/m, and the same scaling carries through to abampere per centimeter and abampere per inch.
How is linear current density different from ordinary current?
Ordinary current, measured in amperes, is a single total flow through a conductor, while linear current density spreads that flow across a width and is expressed per unit length, such as A/m. Multiplying a linear current density by the width it acts across recovers a total current in amperes.
Can I convert an A/in reading from a US datasheet into A/mm?
Yes. Select ampere per inch as the from unit and ampere per millimeter as the target, then enter the value. The converter applies the inch-to-meter and meter-to-millimeter factors automatically through its shared A/m anchor, so no manual unit arithmetic is needed.
Does the precision control change the underlying calculation?
No, it only changes how many decimal places are displayed in the result and the unit table. The underlying conversion is always computed with full floating-point precision, so increasing the displayed decimal places simply reveals more of that already-calculated figure.
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