1Which is the dimensional formula of magnetic flux?
Magnetic flux works out to [M L² T⁻² A⁻¹].
MagnetismClass 12, Electromagnetic Induction
Dimensional formula of Magnetic flux
[M L2 T-2 A-1]
Magnetic field times area. One weber is one tesla square metre, also one volt second.
How to get the dimensional formula of magnetic flux
- Start from the definition: magnetic flux = magnetic field × area.
- velocity = length / time, so velocity is [L] / [T] = [L T-1].
- acceleration = velocity / time, so acceleration is [L T-1] / [T] = [L T-2].
- force = mass × acceleration, so force is [M] × [L T-2] = [M L T-2].
- electric charge = electric current × time, so electric charge is [A] × [T] = [T A].
- magnetic field = force / (electric charge × velocity), so magnetic field is [M L T-2] / ([T A] × [L T-1]) = [M T-2 A-1].
- area = length × length, so area is [L] × [L] = [L2].
- Put in the dimension of each part: [M T-2 A-1] × [L2].
- Add the powers of each base quantity: [M L2 T-2 A-1].
Three questions on magnetic flux
2What is the SI unit of magnetic flux?
The SI unit of magnetic flux is the weber (Wb).
3Do magnetic flux and magnetic field have the same dimensions?
Magnetic flux is [M L² T⁻² A⁻¹] but magnetic field is [M T⁻² A⁻¹].
Magnetic flux: quick answers
What is the dimensional formula of magnetic flux?
The dimensional formula of magnetic flux is [M L² T⁻² A⁻¹]. It comes from magnetic flux = magnetic field × area.
What is the SI unit of magnetic flux?
The SI unit of magnetic flux is the weber (Wb).
Is magnetic flux dimensionless?
No. Magnetic flux has the dimensions [M L² T⁻² A⁻¹].