// multi-utility computation suite · offline · instant · precise
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sci.magnetic-moment Calculator
Calculates the magnetic dipole moment of a current loop or spin system and the torque in an external field: τ = m × B. The magnetic moment of an electron spin is one Bohr magneton (μ_B = 9.274 × 10⁻²⁴ J/T) — NMR and MRI exploit nuclear magnetic moments.
Inputs
Current
Rate of charge flow (A). I = V/R. Above ~100 mA through the body can be lethal. Fuses protect against overcurrent.
Area
Two-dimensional surface extent (m²). For complex shapes, break into simpler sub-shapes and sum.
Turns
Reference formula or conversion factor shown for context.
B Field
Reference formula or conversion factor shown for context.
Results
magnetic moment (A*m^2)
Sample size or count used in the calculation.
maximum torque (N*m)
The largest value in the dataset or feasible range.
potential energy (J)
Energy stored by position in a gravitational field: PE = mgh. Converts to kinetic energy as an object falls. At the top of a drop, energy is all potential; at the bottom, all kinetic (ignoring losses).
mu = N*I*A
Sample size or count used in the calculation.
current (A)
Electric charge flow rate (A). Governs wire sizing — too much current causes dangerous heating. Fuses protect circuits from overcurrent.
field (T)
Reference formula or conversion factor shown for context.