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A filament of 75 W Light bulb may be considered as black body radiating into a black enclosure of 70deg C

The filament diameter is 0.1 mm and length 50 mm. considering the radiation, determine the filament temperature.

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Q=75 W= 75 J/s

T_2=70+273=343

d=0.1 mm

L=5 cm

Area=πdl

ϵ=1 for black body

Q=σ∈A(T41T42 ) 75

=5.67×10(8)×π×0.1×10(3)×5×10(2) (T413434)

T1=3029-273=2756℃

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