Question

A rectangular metal plate measures 0.24 m long and 0.9 m wide. The plate is heated to a temperature of 1,033 K by passing a current through it. Assuming that it behaves like a blackbody, how much power does the plate radiate under these conditions?

Answer 1

Answer: 246GW

Step-by-step explanation:

Radiation is known as one of mode of heat transfer. During radiation, power generated by a radiating body is directly proportional to the area of the body and the fourth power of its absolute temperature.

Mathematically, R = eAR⁴

Where e is the proportionality constant known as emissivity of the body and it varies depending on the body considered. Since the body is a black body e = 1 (perfect body)

A is the area of the body = 0.24m × 0.9m

A= 0.216m²

T= 1033K

R = 1×0.216×1033⁴

R = 246GW

The plate will radiate 246GW