An incandescent light bulb in a room with an air temperature of \(300~\mbox{K}\) radiates with a peak wavelength of \(10^{-6}~\mbox{m}\). The bulb draws \(0.5~\mbox{Amperes}\) from the \(120~\mbox{Volt}\) wall electrical outlet. What is the surface area of the filament in the bulb **in \(\mbox{m}^2\)**?

**Assumption**

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

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