Eureka!

Electricity and Magnetism Level 4

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".