Electromagnet, tesla equations

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Discussion Overview

The discussion revolves around the equations and parameters necessary to calculate the magnetic field strength (in teslas) of an electromagnet, specifically focusing on factors such as wire length, gauge, current, resistance, and core characteristics. The scope includes theoretical and practical aspects of electromagnet design.

Discussion Character

  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant inquires about specific equations relating to various parameters of an electromagnet, including wire length, gauge, current, and core dimensions, to achieve a desired magnetic field strength.
  • Another participant provides a formula for the magnetic field strength of a solenoid, indicating that the permeability of the core material is crucial and that many of the requested parameters do not directly influence the equation.
  • A follow-up question seeks clarification on the term "permeability," specifically whether it refers to the relative magnetic permeability of the core material.
  • A further response emphasizes the importance of knowing the magnetic properties of the core material for accurate estimates of magnetic field strength.

Areas of Agreement / Disagreement

Participants appear to agree on the importance of core material properties in determining magnetic field strength, but there is no consensus on the relevance of other parameters such as wire characteristics in the context of the equations provided.

Contextual Notes

There are limitations regarding the assumptions about wire properties and their influence on resistance and voltage, which are not fully explored in the discussion. The relationship between the various parameters and the resulting magnetic field strength remains partially unresolved.

billtodd
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I know that an electro magnet can have a higher tesla rating when you increase the current or the times revolved around the core but I was wondering if someone could give me an equation or set of equations involving the length of wire, gauge of wire, current, cross sectional area of the wire, wire resistance, number of windings and the diameter of the core and the windings. In terms of teslas just plain and simple. For example to achieve 10^-2 teslas what variables would I need to know. Equations or websites would be great, I can't seem to find exactly what I'm looking for.

thanks very very much

billtodd
 
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For a solenoid we have:

[tex]B= \mu_0 i_0 n[/tex]
where:
[tex]\mu_0[/tex] is the Permeability of free space. and
[tex]i_0 =[/tex] current
n is turns per meter
If you wrap on a metal core, use the permeability of that metal instead of free space.

Notice that most of your requested parameters do not enter into the equation. The properties of the wire will determine the total resistance which will determine the voltage required to achieve the desired current.
 
permeability?

Notice that most of your requested parameters do not enter into the equation. The properties of the wire will determine the total resistance which will determine the voltage required to achieve the desired current.

do you mean I need the relative magnetic permeability of a material?
 
If you want a meaningful estimate of Magnetic field strength you will need to know the magnetic properties of your core material.
 

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