Resistance Covered

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Resistance Covered
A wood ceiling w/ thermal resistance R1 is cover w/ layer of insulstion w/ thermal resistance R2 prove R=R1+R2

If Q is the quantity of heat flowing per second through R1, then
The same quantity must flow through R2 in one second, since energy is conserved.
If θ1 θ2 and θ3 are the temperature at the entrance, junction and exit,

then
θ2 – θ1 = R1 Q and —–1
θ3 – θ2 = R2 Q.——-2

If R is the combined resistance

θ3 – θ1 = R Q. ==========3

Adding 1 and 2 ,

θ3 – θ1 = [R1 + R2] Q.—————4.

Comapring 3 and 4 we get

R = [R1 + R2]

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6 Comments

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