1Which of these has the same dimensions as magnetic moment?
Magnetic moment and Bohr magneton both have the dimensions [L² A].
MagnetismClass 12, Moving Charges and Magnetism
Dimensional formula of Magnetic moment
[L2 A]
Current times loop area. It is the torque on the loop per unit field.
How to get the dimensional formula of magnetic moment
- Start from the definition: magnetic moment = electric current × area.
- area = length × length, so area is [L] × [L] = [L2].
- Put in the dimension of each part: [A] × [L2].
- Add the powers of each base quantity: [L2 A].
Quantities with the dimensions [L² A]
Equal dimensions do not make them the same quantity. Compare magnetic moment with the others in the full grid.
Three questions on magnetic moment
2What is the SI unit of magnetic moment?
The SI unit of magnetic moment is the ampere square metre (A m²).
3Do magnetic moment and magnetic flux have the same dimensions?
Magnetic moment is [L² A] but magnetic flux is [M L² T⁻² A⁻¹].
Magnetic moment: quick answers
What is the dimensional formula of magnetic moment?
The dimensional formula of magnetic moment is [L² A]. It comes from magnetic moment = electric current × area.
What is the SI unit of magnetic moment?
The SI unit of magnetic moment is the ampere square metre (A m²).
Which quantities have the same dimensions as magnetic moment?
Magnetic moment shares [L² A] with Bohr magneton. Equal dimensions do not make them the same quantity.