Calculating Delta T for a Resistor - Philip's Guide

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SUMMARY

The discussion centers on calculating the change in temperature (Delta T) for a resistor using specific heat, density, current density (J), and time. It is established that additional information, specifically the resistivity of the material or the potential gradient, is essential to accurately determine Delta T. The relationship between resistivity and Ohmic power loss is crucial for solving the problem. Philip acknowledges the oversight in the problem statement regarding the inclusion of resistivity.

PREREQUISITES
  • Understanding of specific heat and density in thermal calculations
  • Knowledge of current density (J) and its implications in electrical systems
  • Familiarity with resistivity and its role in Ohm's Law
  • Basic principles of thermal dynamics and heat transfer
NEXT STEPS
  • Research the relationship between resistivity and Ohmic power loss in materials
  • Study the principles of heat transfer in electrical components
  • Learn how to apply the formula for calculating Delta T in thermal systems
  • Explore the effects of potential gradient on current density in resistive materials
USEFUL FOR

Electrical engineers, physicists, and students studying thermodynamics or electrical engineering who are interested in thermal management of resistive materials.

philipc
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Lets say I'm given a 'specific heat, density, currenty density J, and the time that J exist, how can if find the the change in Temperature? My main problem is I don't know how to start the problem, a couple pointer in the right direction would be great.
Thanks
Philip
 
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philipc said:
Lets say I'm given a 'specific heat, density, currenty density J, and the time that J exist, how can if find the the change in Temperature? My main problem is I don't know how to start the problem, a couple pointer in the right direction would be great.
Thanks
Philip

I don't think you have enough information here to solve this. You need at least one more info, either the potential gradient that is producing that current density, or the resistivity of the material (these two values are related). This is because, for the SAME current density, materials with different resistivity will produce different Ohmic power loss - this is what needs to be used to find the change in temperature.

Zz.
 
Zz,
thanks for your quick response
I just read the question again and I guess my professor forgot to put resistivity into the problem, but the final answer does include it.
Philip
 

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