Linear Current Density Converter - Convert A/m, mA/cm, μA/mm & More Units

Result:

1 A/m = 10 mA/cm

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How Linear Current Density Conversion Works

1

Input Value

Enter current density value

2

Select Units

Choose from and to units

3

Convert

Apply conversion formula

K₂ = K₁ × (f₁/f₂)
Conversion formula

Linear Current Density Formulas

Basic Formula:

K = I / L

Where K = linear current density, I = total current, L = length

Unit Conversion:

K₂ = K₁ × (f₁/f₂)

Where f₁, f₂ are conversion factors to base unit

Example Calculation:

Convert 50 mA/cm to A/m:

50 × 0.1 = 5 A/m

Magnetic Field:

B = μ₀K / (2π)

Magnetic field from infinite current sheet

Linear Current Density Conversion Table

A/mmA/cmμA/mmkA/mA/cmmA/m
0.0010.0101.00.0000010.00001.0
0.010.10010.00.0000100.000110.0
0.11.000100.00.0001000.0010100.0
0.55.000500.00.0005000.0050500.0
110.0001000.00.0010000.01001000.0
220.0002000.00.0020000.02002000.0
550.0005000.00.0050000.05005000.0
10100.00010000.00.0100000.100010000.0
20200.00020000.00.0200000.200020000.0
50500.00050000.00.0500000.500050000.0
1001000.000100000.00.1000001.0000100000.0
2002000.000200000.00.2000002.0000200000.0
5005000.000500000.00.5000005.0000500000.0
100010000.0001000000.01.00000010.00001000000.0
500050000.0005000000.05.00000050.00005000000.0

Linear Current Density Units Progression Chart

0.001 A/m

mA/cm:0.010
μA/mm:1.0

0.01 A/m

mA/cm:0.100
μA/mm:10.0

0.1 A/m

mA/cm:1.000
μA/mm:100.0

1 A/m

mA/cm:10.000
μA/mm:1000.0

10 A/m

mA/cm:100.000
μA/mm:10000.0

100 A/m

mA/cm:1000.000
μA/mm:100000.0

Practice Problems

Problem 1:

Convert 25 mA/cm to A/m

Solution: 25 × 0.1 = 2.5 A/m

Problem 2:

Convert 0.5 kA/m to mA/cm

Solution: (0.5 × 1000) ÷ 0.1 = 5000 mA/cm

Problem 3:

Convert 1000 μA/mm to A/cm

Solution: (1000 × 0.001) ÷ 100 = 0.01 A/cm

Problem 4:

A wire carries 2 A current over 50 cm length. Find K in mA/cm

Solution: K = (2 A) ÷ (50 cm) = 40 mA/cm

Problem 5:

Convert 10 A/cm to μA/mm

Solution: (10 × 100) ÷ 0.001 = 1,000,000 μA/mm

Daily Uses of Linear Current Density

Power transmission lines distribute current along their length

Printed circuit board traces carry current per unit width

Electromagnetic coils have current density along wire length

Lightning protection systems distribute current flow

Electric heating elements have uniform current distribution

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Quick Reference

📏1 meter
3.28 feet
⚖️1 kilogram
2.2 pounds
🌡️0°C
32°F
🥤1 liter
0.26 gallon