Calculate the solenoid dimension

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Discussion Overview

The discussion revolves around calculating the thickness of a solenoid given specific parameters, including its length, magnetic field strength, and current. Participants explore the relationship between these variables and the implications of the magnetic field strength in the context of solenoid design.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant seeks to calculate the thickness of a solenoid with given values: length of 20 cm, magnetic field of 5 Tesla, and current of 20 A.
  • Another participant expresses skepticism about the feasibility of achieving a magnetic field of 5 Tesla, questioning its practicality.
  • A formula for the magnetic field inside a solenoid is mentioned: B=μnI, with a note that this is valid under certain conditions regarding the solenoid's dimensions.
  • Participants discuss the location of the magnetic field measurement within the solenoid, with one providing a formula for the magnetic field at the center and expressing confusion over the correct form of the equation.
  • There is acknowledgment that the thickness of the solenoid is dependent on the number of loops (N), raising the question of whether N should be calculated first or if the thickness can be determined directly.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the calculation of the solenoid's thickness or the necessary parameters. There are competing views on the feasibility of achieving a 5 Tesla magnetic field and the correct formulas to use.

Contextual Notes

There are unresolved questions regarding the number of loops (N) and its role in determining the solenoid's thickness. Additionally, discrepancies in the formulas for calculating the magnetic field are noted, with participants unsure about the correct version.

mdpai
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Hi to all,

I have a problem to share with you guys.

How can I calculate the thickness of my solenoid if I have these values;

Solenoid long : 20cm
magnetic field, B : 5Tesla
Current, I : 20A

Thanks a lot for your help. I appreciate that
 
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5T, yeah I know , it's a lot. is it possible?
 
B=μnI this is only valid if the proportion between the thickness and the longeur is huge.
 
mdpai said:
5T, yeah I know , it's a lot. is it possible?

Since stronger magnets have been built, it's possible.
Within any construction constraints you might have, no idea.
Good luck with that.
 
At which place is regarding to solenoid [tex]B=5\;T[/tex]?

For example,formula for [tex]B[/tex] in center of solenoid is:

[tex]B=\frac{\mu_0NI}{\sqrt{4R^2+l^2}}[/tex]
 
R A V E N said:
At which place is regarding to solenoid [tex]B=5\;T[/tex]?

For example,formula for [tex]B[/tex] in center of solenoid is:

[tex]B=\frac{\mu_0NI}{\sqrt{4R^2+l^2}}[/tex]

It's in the air at the center of the solenoid.

p/s:
I found a formula

[tex]B=\frac{\mu_0NI}{\sqrt{R^2+l^2}}[/tex]

So now I confuse, it's 4R^2 or R^2?
 
You are right,it is error in my book.But still you don`t have [tex]N[/tex] given.:confused:
 
the thickness of the solenoid depends on the value of N. So, I don't know if we have to calculate N first or, directly calculate the value of the thickness
 
  • #10
mdpai said:
the thickness of the solenoid depends on the value of N.

:confused:

[tex]N[/tex] is number of loops.
 

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