StatGardenREF. DESK
Calculators/Physics/Magnetic field of a straight wire
Physics

Magnetic field of a straight wire calculator

Field strength at a distance from a long straight wire, from Ampère's law.

What this calculator does

Magnetic field of a straight wire works out field strength at a distance from a long straight wire, from Ampère's law. Enter your own figures above and the answer updates as you type: nothing is fixed in the code, so the result reflects exactly the numbers you supply.

The formula this calculator evaluates is printed under the tool and explained below, so you can check the working by hand or reuse it in a spreadsheet.

The formula

FormulaB = μ₀I/(2πr), μ₀ = 1.25663706212×10⁻⁶ N/A²

The inputs explained

FieldWhat to enter
Current (A)A number, measured in A. Starts at 10.
Distance from the wire (m)A number, measured in m. Starts at 0.05.

Worked examples

Every figure in the tables below is produced by this page’s own calculator at build time, so the numbers and the tool always agree. Select any row to load that scenario.

How the answer changes with current

Every other input is held at the calculator’s starting values while current varies. Select any row to load that scenario into the calculator.

How the answer changes with current
Current (A)Magnetic fieldMagnetic fieldMagnetic field
50.00002000 T20.000 µT0.02 mT
7.50.00003000 T30.000 µT0.03 mT
100.00004000 T40.000 µT0.04 mT
150.00006000 T60.000 µT0.06 mT
200.00008000 T80.000 µT0.08 mT
300.000120 T120.000 µT0.12 mT