862_Physics ProblemsTechnical Physics

862_Physics ProblemsTechnical Physics - 202 Sources of the...

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202 Sources of the Magnetic Field Additional Problems P30.48 B IR R R I R = + = µ µ 0 2 2 2 3 2 0 5 2 2 2 e j I BR = = × × × 2 2 7 00 10 6 37 10 4 10 5 2 0 5 2 5 6 7 µ π . . T m T m A e je j e j so I = × 2 01 10 9 . A toward the west P30.49 Consider a longitudinal filament of the strip of width dr as shown in the sketch. The contribution to the field at point P due to the current dI in the element dr is dB dI r = µ π 0 2 where dI I dr w = F H G I K J B B k k = = = + F H G I K J z z + d Idr wr I w w b b b w µ π µ π 0 0 2 2 1 ± ln ± . FIG. P30.49 P30.50 Suppose you have two 100-W headlights running from a 12-V battery, with the whole 200 17 W 12 V = A current going through the switch 60 cm from the compass. Suppose the dashboard contains little iron, so µ µ 0 . Model the current as straight. Then, B I r = = × µ π π π 0 7 5 2 4 10 17 2 0 6 10 e j a f . ~ T . If the local geomagnetic field is 5 10 5 × T , this is ~10 1 times as large, enough to affect the
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