What is the dimensional formula of thermal resistance?

The dimensional formula of thermal resistance is [M⁻¹ L⁻² T³ K], which comes from thermal resistance = temperature difference ÷ rate of heat flow.

Dimensional formula of thermal resistance

The SI unit of thermal resistance is K/W.

Thermal resistance

[M⁻¹ L⁻² T³ K]

Written in full: [M⁻¹ L⁻² T³ A⁰ K¹]

Thermal resistance = Temperature difference ÷ Rate of heat flow

Put in the dimensions of each part: [K] ÷ [ML²T⁻³] = [M⁻¹ L⁻² T³ K].

The SI unit of thermal resistance is K/W.

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

Quantity	Formula
Specific heat capacity	[L² T⁻² K⁻¹]
Latent heat	[L² T⁻²]
Thermal conductivity	[M L T⁻³ K⁻¹]
Coefficient of linear expansion	[K⁻¹]
Stefan–Boltzmann constant	[M T⁻³ K⁻⁴]
Heat capacity	[M L² T⁻² K⁻¹]
Entropy	[M L² T⁻² K⁻¹]
Temperature gradient	[L⁻¹ K]
Coefficient of volume expansion	[K⁻¹]
Rate of heat flow	[M L² T⁻³]
Wien's constant	[L K]