Induction Heating: Calculating Magnetic Field from Temperature

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SUMMARY

This discussion focuses on calculating the magnetic field generated by induction heating in a ferrous material rod placed inside a solenoid. The primary challenge is establishing a formula that correlates the temperature of the rod with the magnetic field strength. Participants highlight the complexity of calculating heat generation rates and the difficulties associated with accounting for radiative and convective heat loss, which significantly influence the steady-state temperature of the rod. The conversation references educational equipment, specifically the Calendar and Barnes apparatus used in A-level physics, as a potential model for experimentation.

PREREQUISITES
  • Understanding of induction heating principles
  • Familiarity with solenoid magnetic fields
  • Knowledge of heat transfer mechanisms (radiative and convective)
  • Basic thermodynamics related to temperature and material properties
NEXT STEPS
  • Research formulas linking temperature and magnetic field strength in ferrous materials
  • Explore methods for measuring heat generation rates in induction heating
  • Study the effects of radiative and convective heat loss on temperature stabilization
  • Investigate the Calendar and Barnes equipment for practical applications in experiments
USEFUL FOR

Researchers, physicists, and engineers involved in material science, thermal analysis, and induction heating applications will benefit from this discussion.

Ruturaj Vaidya
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Hi everyone, I'm conducting an experiment where I place a ferrous material rod inside a solenoid to measure it's temperature due to induction heating, as shown in the video below:


The aim of my experiment is to calculate the magnetic field from the temperature of the ferrous material rod. Is there a formula that links the two together? (Temperature due to induction heating and magnetic field)
 
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Calculating the rate of heat generation in the rod is probably possible (depending on how complex the temperature dependence of the magnetic properties of the rod is), but the calculation of radiative and convective heat loss rate to the surroundings is likely to be a difficult problem. Both rates affect the steady state temperature the metal reaches.
 
Ruturaj Vaidya said:
Hi everyone, I'm conducting an experiment where I place a ferrous material rod inside a solenoid to measure it's temperature due to induction heating, as shown in the video below:


The aim of my experiment is to calculate the magnetic field from the temperature of the ferrous material rod. Is there a formula that links the two together? (Temperature due to induction heating and magnetic field)

You might stand a better chance of measuring the rate of temperature rise or the rate of heat transfer, rather than the final temperature. I was thinking along the lines of the Calendar and Barnes equipment we used in A level physics at School.
 

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