Linear Current Density Converter — Current per Length Converter
Convert linear current density between different units including A/m, A/cm, A/mm, mA/m, and more. Essential for electromagnetic field analysis, solenoid design, and magnetic field calculations. Linear current density represents the amount of electric current per unit length along a conductor or surface. See also our Magnetic Field Strength Converter and Electric Field Strength Converter.
Value:
How to Convert Linear Current Density
- Enter the linear current density value in the input field above.
- Select the unit you are converting from in the "From" dropdown menu.
- Select the unit you want to convert to in the "To" dropdown menu.
- The result will automatically appear in the result field.
- Use the copy button to copy the result to your clipboard.
- Click any conversion in the list below to quickly select those units.
Linear Current Density Formula
Linear Current Density Definition:
K = I/L
Where:
K = Linear current density (A/m)
I = Total current (A)
L = Length (m)
Unit Conversion Formula:
K₂ = K₁ × (conversion_factor₁ / conversion_factor₂)
Common Units:
SI Unit: A/m (Ampere per meter)
Submultiples: mA/m, μA/m
Multiples: kA/m, A/cm, A/mm
CGS Unit: Oersted (Oe) ≈ 79.5775 A/m
Unit Relationships:
1 A/m = 0.01 A/cm = 0.001 A/mm
1 A/m = 1000 mA/m = 10⁶ μA/m
1 kA/m = 1000 A/m
1 Oe = 79.5775 A/m (CGS-Gaussian system)
Magnetic Field from Surface Current:
B = μ₀K (for infinite sheet)
Where: μ₀ = 4π×10⁻⁷ T·m/A
Solenoid Approximation:
K = nI (turns per length × current)
B = μ₀nI = μ₀KExample Conversion
Problem: Convert 500 A/m to A/cm and oersted (Oe).
Given: K = 500 A/m
Solution:
• To A/cm: 500 A/m × (1 cm / 100 m) = 500 / 100 = 5 A/cm
• To Oe: 500 A/m × (1 Oe / 79.5775 A/m) = 500 / 79.5775 = 6.2832 Oe
Answer: 500 A/m = 5 A/cm = 6.2832 Oe
Technical Details
Linear current density represents the amount of electric current flowing per unit length along a conductor surface or through a thin sheet. It is fundamental in electromagnetic theory for calculating magnetic fields produced by current-carrying surfaces, solenoids, and transmission lines. The concept bridges the gap between discrete wire currents and continuous surface current distributions.
In practical applications, linear current density is crucial for designing solenoids (100 to 10,000 A/m), electromagnetic shielding (1 to 1,000 A/m), transformer windings (500 to 50,000 A/m), and superconducting magnets (10,000 to 1,000,000 A/m). The oersted unit from the CGS system is still widely used in magnetic recording and materials science, where 1 Oe equals approximately 79.58 A/m.
Linear Current Density Reference Table
| Application | Typical Range | Description |
|---|---|---|
| Solenoid windings | 100 to 10,000 A/m | Electromagnetic coil applications |
| Transformer cores | 500 to 50,000 A/m | Power transformer design |
| Electromagnetic shielding | 1 to 1,000 A/m | EMI/EMC protection |
| Superconducting magnets | 10⁴ to 10⁶ A/m | MRI and particle accelerators |
| Magnetic recording heads | 10³ to 10⁵ A/m | Hard drives and tape storage |
| Induction heating coils | 10³ to 10⁵ A/m | Industrial heating processes |
| Electric motors | 10³ to 10⁴ A/m | Stator winding current sheets |
| Helmholtz coils | 10 to 1,000 A/m | Uniform magnetic field generation |
Frequently Asked Questions
What is linear current density?
Linear current density is the amount of electric current per unit length along a conductor or surface. It is measured in amperes per meter (A/m) and is essential for calculating magnetic fields from current sheets, solenoids, and surface currents in electromagnetic theory.
How is linear current density different from volume current density?
Linear current density (K, in A/m) describes current per unit length along a surface, while volume current density (J, in A/m²) describes current per unit cross-sectional area through a conductor. Linear current density is used for thin sheets and surface currents, while volume current density applies to bulk conductors.
What is the relationship between oersted and A/m?
The oersted (Oe) is the CGS unit of magnetic field intensity (H-field), equivalent to approximately 79.5775 A/m in SI units. It is still commonly used in magnetic materials science and recording technology, though SI units are preferred in modern engineering.
How does linear current density relate to magnetic field?
For an infinite current sheet with linear current density K, the magnetic field is B = μ₀K/2 on each side. For a solenoid with n turns per meter carrying current I, the equivalent surface current density is K = nI, producing an internal field B = μ₀nI.
Where is linear current density used in practice?
Linear current density is used in designing solenoids, transformers, electric motors, induction heating coils, electromagnetic shielding, and superconducting magnets. It helps engineers calculate the magnetic field produced by distributed current-carrying surfaces.
Objective of Measurement:
Measurement is the most important aspect of our life. We use measurement in science, engineering, business trading, personal life, education, and more other fields. As technology is growing day by day so we need a highly accurate and easy convenient global measuring system in each and every field. It is essential to use standard measurement in every field that everyone to be sure that they not get cheated.
History of Measurement:
In history for measurement people used the human body as a tool. For measuring length used forearm, hand, foot & finger as a unit. The foot, finger is a subdivided shorter unit of a length. This type of measurement is not accurate cause different in size of the arm & finger for different people & some of the countries still using it. In history, there were lots of measuring systems developed but mostly used imperial, the metric system of measurement. We use these systems for measure distances, volume, weight, speed, area etc. Due to this a major problem everyone is facing while doing trading between the countries. A huge improvement in civilization, It necessary to improve measuring standards. Nowadays International Standard (SI) units are used as a global measurement system.
Linear Current Density Conversion - Unit Converter:
Our linear current density conversion converter convert ampere/meter [A/m], ampere/centimeter [A/cm], ampere/millimeter [A/mm], milliampere/meter [mA/m], milliampere/centimeter [mA/cm], milliampere/millimeter [mA/mm], microampere/meter [μA/m], microampere/centimeter [μA/cm], ampere/inch [A/in], ampere/foot [A/ft], kiloampere/meter [kA/m], oersted [Oe] vice versa with metric conversion.
Linear current density conversions & its abbreviations
| Unit | Abbreviation | Unit | Abbreviation |
|---|---|---|---|
| ampere/meter | A/m | ampere/centimeter | A/cm |
| ampere/millimeter | A/mm | milliampere/meter | mA/m |
| milliampere/centimeter | mA/cm | milliampere/millimeter | mA/mm |
| microampere/meter | μA/m | microampere/centimeter | μA/cm |
| ampere/inch | A/in | ampere/foot | A/ft |
| kiloampere/meter | kA/m | oersted | Oe |
Complete list of Linear current density conversion units and its conversion.
1 ampere/meter [A/m] = 0.01 ampere/centimeter [A/cm]
1 ampere/centimeter [A/cm] = 100 ampere/meter [A/m]
1 ampere/meter [A/m] = 0.001 ampere/millimeter [A/mm]
1 ampere/millimeter [A/mm] = 1000 ampere/meter [A/m]
1 ampere/meter [A/m] = 1000 milliampere/meter [mA/m]
1 milliampere/meter [mA/m] = 0.001 ampere/meter [A/m]
1 ampere/meter [A/m] = 0.0125664 oersted [Oe]
1 oersted [Oe] = 79.5775 ampere/meter [A/m]
1 ampere/meter [A/m] = 0.001 kiloampere/meter [kA/m]
1 kiloampere/meter [kA/m] = 1000 ampere/meter [A/m]