P30_033 - neither B nor ` is zero Ampere’s law is...

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33. We use Ampere’s law. For the dotted loop shown on the diagram i = 0. The integral R ~ B · d~s is zero along the bottom, right, and top sides of the loop. Along the right side the ±eld is zero, along the top and bottom sides the ±eld is perpendicular to d~s .I f ` is the length of the left edge, then direct integration yields H ~ B · d~s = B` ,where B
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Unformatted text preview: neither B nor ` is zero, Ampere’s law is contradicted. We conclude that the geometry shown for the magnetic ±eld lines is in error. The lines actually bulge outward and their density decreases gradually, not discontinuously as suggested by the ±gure....
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