Find the equilbrium temperature

  • Thread starter Thread starter WeiLoong
  • Start date Start date
  • Tags Tags
    Temperature
Click For Summary

Homework Help Overview

The problem involves finding the equilibrium temperature at junctions in a thermal conduction scenario, with given thermal conductivities of materials. The context suggests a focus on thermal conduction principles.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the application of thermal conduction equations and the concept of thermal resistance. There are attempts to clarify the relationship between temperature differences and thermal properties, with some participants expressing uncertainty about their calculations and the correct application of formulas.

Discussion Status

The discussion is ongoing, with participants checking each other's calculations and clarifying the use of thermal resistance in the context of the problem. Some guidance has been offered regarding the equations to use, but there is no explicit consensus on the approach yet.

Contextual Notes

There are indications of confusion regarding the correct application of formulas and the definitions of variables involved in the thermal conduction equations. Some posts have been deleted, which may affect the continuity of the discussion.

WeiLoong
Messages
35
Reaction score
0

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
 
Physics news on Phys.org
[Deleted]
 
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.
 

Similar threads

How Much Power Does a Light Bulb Use in a Series Circuit?
  • · Replies 17 ·
Replies
17
Views
3K
Find Equivalent Capacitance Between A & B with Capacitor
  • · Replies 11 ·
Replies
11
Views
2K
Is my solution for a gravitational problem correct?
  • · Replies 5 ·
Replies
5
Views
1K
Total Internal Reflection / Reflection. What's the answer
  • · Replies 5 ·
Replies
5
Views
2K
Solving Tension in Rope for Homogeneous Rod
  • · Replies 5 ·
Replies
5
Views
2K
How to calculate the equivalent resistance using wye delta ?
  • · Replies 14 ·
Replies
14
Views
5K
What Determines the Coefficient of Restitution in a Two-Object Collision?
  • · Replies 10 ·
Replies
10
Views
3K
Is the Book's Answer to Ideal Gas Behavior Conditions Incorrect?
  • · Replies 2 ·
Replies
2
Views
2K
What is the Direction of the B Field from Electron Motion?
  • · Replies 4 ·
Replies
4
Views
2K
Need to sketch the potential energy of the spring system
  • · Replies 1 ·
Replies
1
Views
977