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BodhiAI
Nov. 4, 2019

Stefan’s Law:

Stefan’s Law

According to it the radiant energy emitted by a perfectly black body per unit area per sec (i.e., emissive power of black body) is directly proportional to the fourth power of its absolute temperature,

 i.e., E ∝ T4 → E = σT4

Where is a constant called Stefan’s constant having dimension [MT-3θ=4] and value 5.67 x 10-8 W/m2 K4.

(i) For ordinary body : e = εE = εσT4

(ii) Radiant energy : If Q is the total energy radiated by the ordinary body then e = Q/Axt =  A εσT4

(iii) Radiant power (P) : It is defned as energy radiated per unit time i.e., P = Q/t = A εσT4

(iv) If an ordinary body at temperature T is surrounded by a body at temperature T0, then Stefan’s law may be put as 

e = ε σ (T4 - T40)