Find the equilbrium temperature

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The discussion focuses on calculating the equilibrium temperature at junctions X-Y and Y-Z using thermal conductivity values of 2k, k, and 4k. Participants emphasize the importance of correctly applying the thermal conduction equations and resistances in their calculations. One user identifies a mistake in their initial approach and clarifies the correct formula for resistance as R = l/(kA). Another user requests assistance in applying the formula to find the temperature at junction Ta. The conversation highlights the collaborative effort to solve the thermal conduction problem effectively.
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Homework Statement


The thermal conductivites of the materials are 2k,k,4k respectively. Find the equilibrium temperature at X-Y Y-Zhttps://scontent-kul1-1.xx.fbcdn.net/hphotos-xpt1/v/t34.0-12/11950919_10204794824222021_851218095_n.jpg?oh=c15562066e063b2b164fbe7255d7d5d2&oe=55E9175C

Homework Equations


Thermal Conduction

The Attempt at a Solution


https://scontent-kul1-1.xx.fbcdn.net/hphotos-xft1/v/t34.0-12/11992166_10204794929704658_463646175_n.jpg?oh=b21361a78faa1427bd9de5c2a4d57a5c&oe=55EA2FB8
I am not sure whether i get it correct or not
 
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Last edited:
Check your math!
 
insightful said:
Check your math!
Hahaa i found my mistake it should be Qa/5 :D
 
Titan97 said:
Take temperature at X-Y junction = Ta and temperature at Y-Z junction as Tb.
As you already know, the temperature difference ##\Delta T=\frac{l}{kA}##
With this, you can find Ta and Tb.
I have no idea how to use this equation, Can you show me Ta using this formula? :D
 
I am sorry. I meant ##R=\frac{l}{kA}##. R is the resistance. Then use ##H=\frac{\Delta T}{R}##. Its the same thing as you have done. I was in a hurry.
 

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