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🧲 Magnetic Moment Calculator

Calculate the magnetic moment of a current-carrying loop, and the torque it experiences in an external magnetic field.

1
A
2
cm²
3
4
T

What magnetic moment is

The magnetic moment describes the strength and orientation of a magnetic source, such as a current loop. This calculator finds the magnetic moment of a coil and the maximum torque it would feel in an external field.

The formula

Magnetic moment m = N × I × A, where N is the number of turns, I is the current through the loop, and A is the loop’s area. The maximum torque on the loop in a uniform external magnetic field B is τ = mB, which occurs when the loop’s magnetic moment is perpendicular to the field.

These are standard formulas from classical electromagnetism for an ideal planar current loop.

Last reviewed August 2026