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Fourier's Law states that the rate of heat transfer through a material is proportional to the temperature gradient. Mathematically, it can be expressed as q = -kA(dT/dx), where q is the heat transfer rate, k is the thermal conductivity of the material, A is the cross-sectional area, and dT/dx is the temperature gradient. An example of Fourier's Law in action is the transfer of heat through a metal rod, where heat flows from a high-temperature end to a low-temperature end following the temperature gradient.

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