# a) State an expression for the radiant energy emitted by a real surface, 𝐸, in terms of that emitted by a blackbody, 𝐸𝑏, at a temperature 𝑇. Make sure you identify nomenclature and units.

18 / 01 / 2019 Physics

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a) State an expression for the radiant energy emitted by a real surface, 𝐸, in terms of that emitted by a blackbody,  𝐸𝑏, at a temperature 𝑇. Make sure you identify nomenclature and units.
b) The filament of a 120 W incandescent light bulb may be modelled, as a first order approximation, as a black body radiating into a black enclosure at 700 °C. If the filament has a diameter of 0.10 mm and length of 3 cm, then, assuming that 100% of the supplied energy is lost as thermal energy by radiation, determine the temperature of the filament.
c) One side of a metallic plate is perfectly insulated, the exposed side absorbs radiant energy at a rate of 1000 W/m2. The surface emissivity of the plate material is equal to 0.65. The convection heat transfer coefficient on the exposed side of the plate, between the plate and the ambient air is 15 W/(m2 K). The surroundings and ambient air may be assumed to be behave as a black body, at a temperature of 22°C.
i) Sketch a diagram and annotate appropriately to identify the combination of incident and emitted energy flows in this problem. Hence derive a simple expression to represent the energy balance in terms of the total energy arriving and the contributions to the total energy leaving the surface. You should assume that Kirchhoff’s Law holds

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