Aheating cable is embedded in a concrete slab for snow melting. the heating cable is heated electrically with joule heating to provide the concrete slab with a uniform heat of 1200 w/ m2. the concrete has a thermal conductivity of 1.4 w/m⋅k. to minimize thermal stress in the concrete, the temperature difference between the heater surface (t1) and the slab surface (t2) should not exceed 16°c (2015 ashrae handbook—hvac applications, chapter. 51). formulate the temperature profile in the concrete slab, and determine the thickness of the concrete slab (l) so that t1 − t2 ≤ 16°c.