- #1

skirmidirmi

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## Homework Statement

Prove that thermal resistance is additive in series

## Homework Equations

H=A(T

_{H}-T

_{c})/R

where R=L/k

## The Attempt at a Solution

For two slabs in thermal contact where T

_{C}is the outside cold temperature and T

_{H}is the outside hot temperature

A(T

_{H}-T

_{c})/R=A(T

_{H}-T)/R

_{1}+A(T-T

_{c})/R

_{2})

The A's cancel out, and after a bit of math, I've gotten the equation down to

R=(R

_{1}+R

_{2})(T

_{H}-T

_{C})/(R

_{2}(T

_{H}-T)+R

_{1}(T-T

_{c})

How can I get rid of the T's with no subscript and just be left with R1+R2 on the right side?