P30_033 - neither B nor ` is zero, Amperes 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, Amperes 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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