Blackbody Radiation: an Electric Current Through a Tungsten Filament Maintains

Blackbody radiation: An electric current through a tungsten filament maintains its temperature at 2800 K. Assume the tungsten filament behaves as an ideal radiator at that temperature. If the radiating area of the filament is 2.0 × 10^-6 m², at what rate does it radiate energy? (σ = 5.670 × 10^-8 W/m² ∙ K⁴, Wien displacement law constant is 2.90 × 10^-3 m ∙ K)

A) 5.5 W
B) 7.0 W
C) 8.5 W
D) 10 W
E) 11.5 W