Length of wire in a coil of known dimensions?

  • Thread starter carmatic
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  • #1
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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?
 

Answers and Replies

  • #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).
 
  • #3
92
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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?
 
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