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Question

A 100 W bulb has tungsten filament of total length 1.0 m and radius 4×105m. The emissivity of the filament is 0.8 and σ=6.0×108 W m2K4. Calculate the temperature of the filament when the bulb is operating at correct wattage.

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Solution

Given

P = 100 W

I = 1.0 m

r = 4×105m

According to Stephen's law

P=eAσT

100=(0.8)×(3.14×4×105)×(6×108)×T

T1700K

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