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Long Straight Wire Magnetic Field & Distance

Estimate magnetic field magnitude around a long straight current-carrying wire or solve current and distance.

  • Formula & worked example
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Calculator inputs

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How to use this calculator

  1. Enter the known values in the units shown. Results update as you type.
  2. Where results are editable, change one to solve backwards. Lock a value to hold it fixed.
  3. Use the worked example to check the method. Reset restores the starting fields.

Private by default

Inputs and results stay in this browser tab. Bookify does not upload or store the values you enter.

Formula and method

A 10 A current at a perpendicular distance of 1 m gives approximately 2 µT.

B = 2 × 10⁻⁷ I / r

Worked example

Enter these known values and leave the other values blank.

Current in the wire (I)
10 A
Distance from the wire (d)
100 cm
Magnetic field (B)
0.000002 T

Assumptions and limitations

  • Assumes a thin, effectively infinite straight wire in vacuum or air, far from its ends and other conductors.
  • The captured coefficient uses the conventional approximation μ₀ ≈ 4π × 10⁻⁷ H/m. It is not an exact post-2019 SI constant.
  • Current and field are nonnegative magnitudes; distance must be positive. Direction follows the right-hand rule. Zero current gives zero field but does not determine distance.

Common questions

What should I check before using this result?

Assumes a thin, effectively infinite straight wire in vacuum or air, far from its ends and other conductors.

References

Bookify treats current and magnetic field as nonnegative magnitudes and accepts zero-current fields.

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