The figure shows a wire segment of length As = 3.5 cm, centered at the origin, carrying current i = 5.0 A in the positive y direction (as part of some complete circuit). To calculate the magnitude of the magnetic field B produced by the segment at a point several meters from the origin, we can use the Biot-Savart law as B = (uo/4n)i As (sin 0)/r2. This is because rand 0 are essentially constant over the segment. Calculate B (in unit-vector notation) at the (x, y, z) coordinates (a) (0, 0, 6.2 m), (b) (0, 7.9 m, 0), (c) (9.6 m, 8.6 m, D), and (d) (-5.1 m,-5.6 m,0).

The figure shows a wire segment of length As = 3.5 cm, centered at the origin, carrying current i = 5.0 A in the positive y direction (as part of some complete circuit). To calculate the magnitude of the magnetic field B produced by the segment at a point several meters from the origin, we can use the Biot-Savart law as B = (uo/4n)i As (sin 0)/r2. This is because rand 0 are essentially constant over the segment. Calculate B (in unit-vector notation) at the (x, y, z) coordinates (a) (0, 0, 6.2 m), (b) (0, 7.9 m, 0), (c) (9.6 m, 8.6 m, D), and (d) (-5.1 m,-5.6 m,0).

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter30: Magnetic Fields And Forces

Section: Chapter Questions

Problem 77PQ

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