Linear Current Density Converter
Convert linear current density units — A/m, mA/cm, kA/m, and more. Free online linear current density converter for electromagnetics and electrical engineering.
Understanding Linear Current Density
Linear current density measures electric current per unit width across a surface or along a boundary. You express it in amperes per meter (A/m). This quantity describes current sheet distributions and surface current flow.
Linear current density applies to thin conductors, current sheets, and boundary conditions in electromagnetic analysis. It represents current flowing per unit transverse length.
Linear Current Density Formulas
K = I / w
Definition: Linear current density equals total current divided by width. K represents surface current density in A/m.
B = μ₀ × K / 2
Magnetic field: Field from infinite current sheet equals permeability times density divided by 2.
n × (H₁ - H₂) = K
Boundary condition: Surface current equals discontinuity in tangential magnetic field.
Example: A 10 cm wide conductor carrying 5 amperes has K = 5 A / 0.1 m = 50 A/m linear current density.
Common Linear Current Density Conversions
| A/m | mA/cm | kA/m |
|---|---|---|
| 0.1 | 1 | 0.0001 |
| 1 | 10 | 0.001 |
| 10 | 100 | 0.01 |
| 100 | 1,000 | 0.1 |
| 1,000 | 10,000 | 1 |
Practical Applications
Electric Machine Windings
Motor and generator windings have linear current density along the air gap. Values range from 20-100 kA/m for industrial machines. Higher density increases torque but raises losses.
Busbar Design
Wide busbars distribute current across their width. Linear density determines magnetic forces between parallel bars. Proper spacing prevents excessive mechanical stress.
Printed Circuit Boards
PCB traces carry current with finite width. Linear density affects trace heating and voltage drop. Wide traces reduce density and improve current handling.
Electromagnetic Shielding
Surface currents flow on shield boundaries. Linear density determines shielding effectiveness. Apertures disrupt current flow and reduce performance.
Frequently Asked Questions
How does linear current density differ from current density?
Linear current density has units A/m and applies to surfaces. Current density has units A/m² and applies to volumes. Linear density integrates current density through thickness.
What limits linear current density in conductors?
Heating limits current density. Higher density increases resistive losses. Cooling methods and conductor material determine maximum sustainable density.
How do you calculate magnetic field from current sheet?
For infinite sheet, B = μ₀K/2 on each side. Field direction follows right-hand rule. Finite sheets require integration or numerical methods.
Why use linear current density in machine design?
Electric machines have windings distributed around circumference. Linear density describes ampere-conductors per meter of air gap circumference. This simplifies magnetic circuit analysis.
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