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Physics · Ch 7 — Thermal Properties of Matter

Thermal Resistance (RT)

7.9.1.3

Thermal Resistance (RT)

By direct analogy with electrical resistance V/IV/I (potential difference divided by current), the ratio of temperature difference to heat-flow rate is called the thermal resistance RTR_T of a conducting slab or rod:

RT=T1−T2Pcond=xkAR_T = \frac{T_1-T_2}{P_{cond}} = \frac{x}{kA}

Its SI unit is °C·s/J (or, in older units, °C·s/kcal), with dimensional formula [M−1L−2T3K1][M^{-1}L^{-2}T^3K^1]. Since RTR_T is inversely related to kk, a LOWER thermal conductivity means a HIGHER thermal resistance, and materials with a high RTR_T are good thermal insulators. It is worth distinguishing thermal RESISTIVITY ρT=1/k\rho_T = 1/k (a property purely of the MATERIAL) from thermal RESISTANCE RTR_T (a property of a particular piece -- a specific slab or rod -- which depends also on its thickness or length, not the material alone). …