Dimensional formula of electric resistance

Electric resistance

[M L² T⁻³ A⁻²]

Written in full: [M¹ L² T⁻³ A⁻² K⁰]

How to derive it

Electric resistance = Potential difference ÷ Current

Put in the dimensions of each part: [ML²T⁻³A⁻¹] ÷ [A] = [M L² T⁻³ A⁻²].

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

SI unit

The SI unit of electric resistance is ohm (Ω).

Same dimensions as electric resistance

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

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More from Current electricity

Quantity	Formula
Electrical conductance	[M⁻¹ L⁻² T³ A²]
Resistivity	[M L³ T⁻³ A⁻²]
Current density	[L⁻² A]