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Unformatted text preview: s 1 and s 2 ). The connecting paths (each of size r ) between the circles can be made perpendicular to the magnetic eld lines (so that ~ B ~s = 0). In fact, we can keep the connecting paths roughly perpendicular to ~ B and manage to have s 1 s 2 if our Amperian loop is very small (especially if r is much smaller than the outer radius of the toroid). Simplifying our notation, the current through the loop is therefore s , so Amperes law yields ( B 1 B 2 ) s = s and B 2 B 1 = . What this demonstrates is that the change of the magnetic eld is when moving from one point to another (in a direction perpendicular to the eld) across a current sheet (as the term is used in problem 39); this principle is useful in any discussion of boundary conditions in electrodynamics applications....
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This note was uploaded on 11/12/2011 for the course PHYS 2001 taught by Professor Sprunger during the Fall '08 term at LSU.
 Fall '08
 SPRUNGER
 Physics, Current

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