Calculate the magnetic flux density

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SUMMARY

The magnetic flux density (B) at the position of a small coil near a large air-cored electromagnet can be calculated using the formula B = Q * 2 * u / r, where Q is the total charge (0.01 C), u is the resistance per unit length (0.10 Ω m-1), and r is the radius of the coil (10 mm). This results in a magnetic flux density of 0.2 T. Key considerations include expressing resistance in terms of the number of turns (N) and the coil's radius (r), as well as the total length of wire in the coil.

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  • #31
TSny said:
Keep in mind that L is the length of the wire in the coil (because you need the resistance R of the wire). L is not the length of the cylinder on which the wire is wound. If you had to make a coil of N turns by winding wire around a cylinder of radius r, what length of wire would you need?
L = N 2 π r?

B = Q N 2 π r u / π r2 N = Q 2 u / r that gets B = 0.2 T. Thank you!
 
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  • #32
moenste said:
L = N 2 π r?

B = Q N 2 π r u / π r2 N = Q 2 u / r that gets B = 0.2 T. Thank you!
Yes, that's it.
 
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