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 = (H/4n)i As (sin 0)/r2. This is because r and 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, 0), and (d) (-5.1 m,-5.6 m,0). (a) (0,0, 6.2 m) = (Number i Units (b) |B| (0,7.9 m, 0) = Number i Units Units (c) B (9.6 m, 8.6 m, 0) = (Number i

Physics for Scientists and Engineers: Foundations and Connections
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ISBN:9781133939146
Author:Katz, Debora M.
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Chapter31: Gauss’s Law For Magnetism And Ampère’s Law
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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
%3D
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 = (µo/4rt)i As (sin 0)/r². This is because r and 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,
0), and (d) (-5.1 m,-5.6 m,0).
As-
Units
(a) B (0,0, 6.2 m) = (Number i
%3D
IBI
Units
(b) |B| (0, 7.9 m, 0) = Number
i
%3D
Units
(c) B (9.6 m, 8.6 m, 0) = (Number i
%3D
(d) B (-5.1 m,-5.6 m,0) = (Number
i
Units
%3D
<>
Transcribed Image Text: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 %3D 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 = (µo/4rt)i As (sin 0)/r². This is because r and 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, 0), and (d) (-5.1 m,-5.6 m,0). As- Units (a) B (0,0, 6.2 m) = (Number i %3D IBI Units (b) |B| (0, 7.9 m, 0) = Number i %3D Units (c) B (9.6 m, 8.6 m, 0) = (Number i %3D (d) B (-5.1 m,-5.6 m,0) = (Number i Units %3D <>
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