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Magnetic Dipole Torque from Moment and Field Calculator

τ = m · B · sin θ.

Compute the torque on a magnetic dipole (current loop, bar magnet) of magnetic moment m placed in an external uniform magnetic field B at angle θ between m and B: τ = m · B · sin θ. Maximum torque at θ = 90°; zero when m is aligned with (or against) B.

Dr. Helena Ortiz By Dr. Helena Ortiz
Published Last reviewed 1 min read

Inputs

A·m²
T
°

Results

Enter values and click Calculate to see results.
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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

τ = m · B · sin θ.

In depth

Compute the torque on a magnetic dipole (current loop, bar magnet) of magnetic moment m placed in an external uniform magnetic field B at angle θ between m and B: τ = m · B · sin θ. Maximum torque at θ = 90°; zero when m is aligned with (or against) B.