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Length of wire in a coil of known dimensions?

  1. May 25, 2012 #1
    suppose that i have a wire with a known thickness ... and i want to wind it around a solid cylinder with known dimensions, and in the end make a coil with the same length as the solid cylinder

    how do i relate between the length of wire required and the diameter of this coil?
  2. jcsd
  3. May 25, 2012 #2
    W = Length of Wire
    D = Diameter of Pipe
    L = Length of Pipe (and wire coil)
    T = Thickness of Wire
    ∏ = pi

    W = ∏(D+T/2)(L/T)

    This should give you what you need under ideal situations

    The length of the wire is equal to the length of one loop of wire around the tube, ∏(D+T/2), times the number of times it is able to go around the tube, (L/T).

    Be sure that your units are all the same (use some common measurement like 'cm' for all of these).
  4. May 26, 2012 #3
    that seems to only apply for a single layer of wire coiled onto the core

    in order to account for multiple layers of wire, it looks like it will take calculating a linear combination ( http://en.wikipedia.org/wiki/Linear_combination ) where you have an integer multiple of T?
    Last edited: May 26, 2012
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