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Grade 12th passMechanics

a rod of length l and cross section of area A has. a variable conductivity given by k=alpha T

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Profile image of Dravit
8 Years agoGrade 12th pass
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1 Answer

Profile image of Saurav
8 Years ago
"Heat current : `i = - k A (dT)/(dx)`"
"` idx = - kA dT => i in^lt_0 dx = - A \alpha \tiny \intT2T1​ T dT`"
"`=> i l = - A \alpha ( T12-T22)/2 => i = ( A \alpha ( T22 - T12))/(2l) `"