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The Effective Strength of Multiple Disc Magnets Stacked Together

  • Thread starter rfrederick
  • Start date
I spent a long time just trying to find the right equation and it was no surprise that I did not understand a variable of it.

1. Homework Statement

Why is it that a tower of identical disc magnets behaves differently (is stronger than?) a single magnet.

Known: NO NUMBERS
Each disk is identical in every shape and form

2. Homework Equations

This is the equation I found:
eq5.gif


3. The Attempt at a Solution

I figured that as more and more discs are attached 'L' increases, as it gets longer, however this causes the Flux density at x (Bx) to decrease. The only logical thing I got out of that is that the Residual flux density must increases as more are added. The only problem is, I don't know how much. As the magnets are identical, is the increase uniform (Br with one magnet = x, with two magnets = 2x, etc)? Exponential? Is there no change or is it the wrong equation?

Thank you for your help.
 
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