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?

Question

Physics

Lance Johnston

31 October, 00:28

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?

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Answers (1)

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Eddie Johnston · Answer 1

Answer: 246GW

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