how does the rate of flow of heat in a conductor vary with sub area of cross section
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The flow of Heat and Electricity are mostly the same. Just remember that the Possible Difference changes to Temperature difference conductivity to heat conductivity.
Heat Conductance = (Heat Conductivity) x (Area of cross-section)/ (Length of material)
Rate of Flow of heat or Heat Current = (temperature difference) x (heat Conductance)
Thus with an increase of is Rate of Flow of Heat will increase.
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