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Homework Help: Magnetic field in a multi-layered solenoid

  1. Jan 28, 2015 #1
    Hello everyone, this is probably a simpler problem than I think but here it is
    My argument is that the length of the solenoid is the number of turns times the diameter of the wire so

    B=\mu_{0}\times n\times I\\\\
    =\mu_{0}\times \frac{N}{L}\times I\\\\
    =\mu_{0}\times \frac{N}{N\times d}\times I\\\\
    =\mu_{0}\times \frac{1}{d}\times I\\\\
    B=4\pi\times 10^{-7}\times\frac{1}{300\times 10^{-6}}\times 10 = 0.042\textrm{ T}
    So one layer gives 0.042 Tesla so to get 10 Tesla you'd need [itex]10/0.042\approx 238[/itex] layers.

    I don't have a great deal of confidence in this argument but I'm struggling to see how else to approach this question. Any help would be greatly appreciated. Thanks.
  2. jcsd
  3. Jan 28, 2015 #2


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    Staff: Mentor

    1 Tesla, not 10.
    Looks good.
  4. Jan 28, 2015 #3
    Ah yes, silly mistake, so 23.8 layers, i.e 24 layers.
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