EM waves and blackbody radiation question

AI Thread Summary
To calculate the power radiated by a rectangular metal plate heated to 1,433 K, the Stefan-Boltzmann law is applied, which states that power (P) is equal to the Stefan-Boltzmann constant (σ) multiplied by the surface area (A) and the temperature (T) raised to the fourth power. The surface area of the plate, measuring 0.20 m by 0.30 m, is calculated to be 0.06 m². Substituting these values into the equation P = σAT^4 allows for the determination of the power radiated. The discussion highlights the importance of correctly applying the formula and understanding the relationship between temperature and power output. Proper use of the Stefan-Boltzmann law will yield the correct answer for the power radiated by the plate.
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Homework Statement


A rectangular metal plate measures 0.20 m long and 0.3 m wide. The plate is heated to a temperature of 1,433 K by passing a current through it. Assuming that it behaves like a blackbody, how much power does the plate radiate under these conditions?


Homework Equations


P∝T^4 (power is proportional to the temperature raised to the fourth power)
Only relevant equation I can find in my textbook so far. I don't where to factor in the lengths in the question.

The Attempt at a Solution


Ive tried all sorts of combos of the equation i gave, but all of them are wrong. I have the same question with different numbers and the answer to that one but still don't know how to get it.ψ
 
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Ok you might not heard about stefan boltzman law
P=σAT4.(where A is surface area:smile:)
Where σ is called stefan boltzman constant its value is 5.670373(21)×10−8 W m−2 K−4.
Now find it it is easy.
 
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