Surface Current Density Converter

ConversionEdited by Hemant Kumar and Anjita Rai, founders · How we checkUpdated Free · No sign-up

Quick answer: Choose a starting unit and a target unit, then enter a value. Common conversions: 1 A/m² = 0.0001 A/cm²; 1 A/m² = 0.000001 A/mm²; 1 A/m² = 0.00064516 A/in². This converter covers 5 surface current density units.

Use the Surface Current Density Converter

Surface Current Density formula and what each symbol means

target = value × (factor of starting unit ÷ factor of target unit), where each factor is the unit value in A/m².

Symbols used in the formula
SymbolMeaning
valueThe number you want to convert
factorThe unit’s size expressed in the base unit (A/m²)

Surface Current Density examples

A/m² to A/cm²

10 A/m² = 0.001 A/cm².

A/m² to A/mm²

10 A/m² = 0.00001 A/mm².

A/m² to A/in²

10 A/m² = 0.0064516 A/in².

How to calculate Surface Current Density step by step

  1. Choose the starting unit and the target unit.
  2. Enter your value.
  3. Read the converted value, plus the conversion factor in both directions.

Popular surface current density conversions

How to read your Surface Current Density result

Surface current density, or current density, is current per unit cross-sectional area. The SI unit is ampere per square metre. One A/mm² is 1,000,000 A/m², and one A/cm² is 10,000 A/m².

UNITSYMBOLEQUALSVALUE OF 1 A/M²
Ampere per square meterA/m²1 A/m² = 1 A/m²1 A/m²
Ampere per square centimeterA/cm²1 A/cm² = 10,000 A/m²0.0001 A/cm²
Ampere per square millimeterA/mm²1 A/mm² = 1,000,000 A/m²0.000001 A/mm²
Ampere per square inchA/in²1 A/in² = 1,550.0031 A/m²0.00064516 A/in²
Ampere per circular milA/cmil1 A/cmil = 1,973,525,200 A/m²5.067075×10⁻¹⁰ A/cmil

Common mistakes when calculating Surface Current Density

  • Forgetting to square the length factor: 1 mm² is 1×10⁻⁶ m².
  • Mixing A/mm² and A/cm², which differ by 100.
  • Using current density where total current is meant.

Surface Current Density FAQ

How many A/m² is 1 A/mm²?

1 A/mm² is 1,000,000 A/m².

How many A/m² is 1 A/cm²?

1 A/cm² is 10,000 A/m².

Where is current density used?

In wiring, PCB tracks, electroplating and battery design.

What is the base unit for surface current density?

This converter uses ampere per square meter (A/m²) as the common base unit: every value is first converted to it and then to the target unit.

How do I convert between two surface current density units?

Choose the starting and target units, enter the value and read the result. By hand: convert to the base unit with the table, then divide by the target unit factor.

How many amperes per square centimeter are in 1 ampere per square meter?

1 A/m² = 0.0001 A/cm².

How many amperes per square millimeter are in 1 ampere per square meter?

1 A/m² = 0.000001 A/mm².

How many amperes per square inch are in 1 ampere per square meter?

1 A/m² = 0.00064516 A/in².

Which surface current density units does this converter support?

It covers 5 units: ampere per square meter (A/m²), ampere per square centimeter (A/cm²), ampere per square millimeter (A/mm²), ampere per square inch (A/in²), ampere per circular mil (A/cmil).

How accurate is the surface current density converter?

Results are calculated at full double precision and shown to about 8 significant figures. Round the answer to the precision of your original measurement; a result cannot be more accurate than the number you started with.

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Method, review and disclaimer

Edited by: Hemant Kumar and Anjita Rai, founders of ToolsVault (SEO and content professional, not a licensed adviser). Method: this tool runs in your browser using the formula shown on this page; the numbers you enter are not sent to our servers. Sources: NIST SP 811, Appendix B.8: conversion factors, BIPM: the International System of Units (SI)