The figure shows a wire segment of length As = 5.1 cm, centered at the origin, carrying current i 5.3 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 = (Ho/4)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, 6.4 m), (b) (0, 6.1 m, 0), (c) (7.7 m, 8.2 m, 0), and (d) (-6.2 m,-4.5 m,0). As Units (a) B (0,0, 6.4 m) = (Number i Units (b) |B| (0, 6.1 m, 0) = Number Units (c) B (7.7 m, 8.2 m, 0) = (Number i Units (d) B (-6.2 m,-4.5 m,0) = (Number i

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter31: Gauss’s Law For Magnetism And Ampère’s Law
Section: Chapter Questions
Problem 31PQ
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The figure shows a wire segment of length AS = 5.1 cm, centered at the origin, carrying current i 5.3 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 = (Ho/4m)i As (sin 0)/r2. This is because r and 0 are essentially constant over
%3D
the segment. Calculate B (in unit-vector notation) at the (x, y, z) coordinates (a) (0, 0, 6.4 m), (b) (0, 6.1 m, 0), (c) (7.7 m, 8.2 m, 0), and
(d) (-6.2 m,-4.5 m,0).
As
Units
(a) B (0,0, 6.4 m) = (Number i
%3D
Units
(b) |B| (0, 6.1 m, 0) = Number i
Units
(c) B (7.7 m, 8.2 m, 0) = (Number
Units
(d) B (-6.2 m,-4.5 m,0) = (Number i
<>
<>
Transcribed Image Text:The figure shows a wire segment of length AS = 5.1 cm, centered at the origin, carrying current i 5.3 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 = (Ho/4m)i As (sin 0)/r2. This is because r and 0 are essentially constant over %3D the segment. Calculate B (in unit-vector notation) at the (x, y, z) coordinates (a) (0, 0, 6.4 m), (b) (0, 6.1 m, 0), (c) (7.7 m, 8.2 m, 0), and (d) (-6.2 m,-4.5 m,0). As Units (a) B (0,0, 6.4 m) = (Number i %3D Units (b) |B| (0, 6.1 m, 0) = Number i Units (c) B (7.7 m, 8.2 m, 0) = (Number Units (d) B (-6.2 m,-4.5 m,0) = (Number i <> <>
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