An incandescent light bulb in a room with an air temperature of 300 K300~\mbox{K} radiates with a peak wavelength of 106 m10^{-6}~\mbox{m}. The bulb draws 0.5 Amperes0.5~\mbox{Amperes} from the 120 Volt120~\mbox{Volt} wall electrical outlet. What is the surface area of the filament in the bulb in m2\mbox{m}^2?

Assumption

The filament may be modeled as a perfect "black body".

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