Dimensional formula of electrical conductivity

Electrical conductivity
[M−1 L−3 T3 A2]
Written in full: [M⁻¹ L⁻³ T³ A² K⁰]

How to derive it

Electrical conductivity = 1 ÷ Resistivity

Put in the dimensions of each part: 1 ÷ [ML³T⁻³A⁻²] = [M⁻¹ L⁻³ T³ A²].

mass (M)
-1
length (L)
-3
time (T)
3
current (A)
2
temperature (K)
0

SI unit

The SI unit of electrical conductivity is siemens per metre (S/m).

Same dimensions as electrical conductivity

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

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More from Current electricity

QuantityFormula
Electric resistance[M L2 T−3 A−2]
Electrical conductance[M−1 L−2 T3 A2]
Resistivity[M L3 T−3 A−2]
Current density[L−2 A]
Electromotive force[M L2 T−3 A−1]
Electric power[M L2 T−3]
Mobility[M−1 T2 A]
Electrochemical equivalent[M T−1 A−1]
RC time constant[T]