A tungsten filament is modeled as a cylindrical surface of length and radius

PHYSICS · Subjective · CBSE · Physics · Thermal Properties of Matter · Thermal Properties of Matter

Problem

A tungsten filament is modeled as a cylindrical surface of length 5.0 cm5.0\,\text{cm} and radius 4.0 mm4.0\,\text{mm}. The filament’s emissivity is 0.300.30, and it radiates 60 W60\,\text{W} of thermal energy in steady operation. Taking σ=5.67×10−8 W m−2 K−4\sigma = 5.67\times10^{-8}\,\text{W}\,\text{m}^{-2}\,\text{K}^{-4}, calculate the filament’s operating temperature.

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