Calculating Temp Rise in Conductor after Time t

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Discussion Overview

The discussion centers around calculating the temperature rise in a conductor when a current is passed through it for a specified duration. Participants explore various factors influencing temperature rise, including resistivity, energy dissipation, and heat capacity, while considering both theoretical and practical aspects of the problem.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning
  • Experimental/applied

Main Points Raised

  • One participant inquires about calculating temperature rise in a conductor given current, length, and time.
  • Another suggests determining the resistivity of the conductor and refers to graphs of materials versus power dissipation.
  • Several participants propose that knowing the resistivity and cross-sectional area allows for calculating resistance, and subsequently, energy dissipation using the formula (current squared) * resistance.
  • One participant emphasizes that calculating temperature accurately is complex due to various influencing factors, including surrounding temperature and object proximity.
  • Another participant mentions that while ideal conditions can simplify calculations, real-world applications often require measurements for accuracy.
  • One participant suggests that simplifications can provide preliminary estimates of temperature rise based on dissipated heat and heat capacity.
  • A later reply outlines a relation involving mass, specific heat, and temperature rise to estimate the temperature increase from total heat exchange.

Areas of Agreement / Disagreement

Participants express differing views on the feasibility and accuracy of calculating temperature rise in practical scenarios. While some advocate for simplifications to estimate temperature rise, others highlight the complexities and uncertainties involved, indicating that no consensus exists on a definitive method.

Contextual Notes

Limitations include the dependence on ideal conditions, the need for accurate measurements, and the influence of external factors on temperature calculations.

Mahadev
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I am passing Xamps thru a Ylenth of conductor for time t sec. can anybody suggest me how to calculate temperarure rise in the conductor after time tsec in a conductor
 
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Sorry if I'm wasting your time but you can determine the resistivity of the conductor based on those factors.

Normally what i have seen are graphs of various materials vs power dissipation.

Here's info on a thermistor in the meanwhile. http://en.wikipedia.org/wiki/Thermistor
 
If you know the resistivity of the conductor,alongwith the cross sectional area,you can find the resistance as (resistivity)*length/area,then the total energy dissipated is (current)squared * resistance.

does that help?
 
lala_alak said:
If you know the resistivity of the conductor,alongwith the cross sectional area,you can find the resistance as (resistivity)*length/area,then the total energy dissipated is (current)squared * resistance.

does that help?

In addition, by knowing the heat capacity of the conductor we can calculate the temperature rise of the conductor from the dissipated power.

aaNg
 
Realistically temperature can only be calculated in ideal and over simplified situations. There are many factors which effect the final temperature so it is very difficult to consider them all. A very large factor in the temperature of any object is the the temperature of the surroundings and the proximity of other objects. You can calculate accurately total energy loss or gain, but that does not automatically get you temperature.

The best way to find the temperature of a system is to measure it.
 
lala_alak said:
If you know the resistivity of the conductor,alongwith the cross sectional area,you can find the resistance as (resistivity)*length/area,then the total energy dissipated is (current)squared * resistance.

does that help?


Sorry,
this gives only power loss. how you can calculate a temperature rise after some time t?
Mahadev
 
Integral said:
Realistically temperature can only be calculated in ideal and over simplified situations. There are many factors which effect the final temperature so it is very difficult to consider them all. A very large factor in the temperature of any object is the the temperature of the surroundings and the proximity of other objects. You can calculate accurately total energy loss or gain, but that does not automatically get you temperature.

The best way to find the temperature of a system is to measure it.

But ... engineering works by simplifying situation. Otherwise, we will never arrive anywhere :-)
 
Actually i am designing a new trip coil for MCB so i want to know the temperature rise.
thank you
 
I think the simplification can be used as a first/preliminary estimation.

We can calculate the estimated dissipated heat, then we can find the temperature rise if we know the heat capacity of conductor.

That's the estimation.

To refine the result, used experiment :-)

aaNg
 
  • #10
So once you multiply the power with time,you are left with the total energy,now you'll need the heat capacity of the material,i believe the overall relation is:

mass*specificheat*temperaturerise = total heat exchange.

I guess now you should be able to calculate the rise in temperature.
 

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