Dimensional formula of permeability of free space

Permeability of free space
[M L T−2 A−2]
Written in full: [M¹ L¹ T⁻² A⁻² K⁰]

How to derive it

Permeability of free space = Magnetic field × 2π × Distance ÷ Current, from B = μ₀I/2πr

Put in the dimensions of each part: [MT⁻²A⁻¹] × [L] ÷ [A] = [M L T⁻² A⁻²].

mass (M)
1
length (L)
1
time (T)
-2
current (A)
-2
temperature (K)
0

SI unit

The SI unit of permeability of free space is H/m (T·m/A).

Same dimensions as permeability of free space

None of the other quantities on this site share these exact dimensions.

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More from Magnetism

QuantityFormula
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