The figure shows a wire segment of length As = 5,0 cm, centered at the origin, carrying current i = 5.4 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/4t)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, 7.3 m), (b) (0, 8.1 m, O), (c) (9.6 m, 9.7 m, O), and (d) (-4.0 m,-5.5 m,0). As (a) B (0,0,7.3 m) = (Number i Units (b) |B| (0, 8.1 m, 0) = Number i Units Units (c) B (9.6 m, 9.7 m, 0) = (Number i Units (d) B (-4.0 m,-5.5 m,0) = (Number i

Physics for Scientists and Engineers: Foundations and Connections
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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 = 5.0 cm, centered at the origin, carrying current i = 5.4 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 = (µ/4r1)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, 7.3 m), (b) (0, 8.1 m, O), (c) (9.6 m, 9.7 m, 0), and
(d) (-4.0 m,-5.5 m,0).
As
(a) B (0,0,7.3 m) = (Number i
Units
Units
(b) |B| (0, 8.1 m, 0) = Number i
Units
(c) B (9.6 m, 9.7 m, 0) = (Number i
(d) B (-4.0 m,-5.5 m,0) = (Number
i
Units
Transcribed Image Text:The figure shows a wire segment of length As = 5.0 cm, centered at the origin, carrying current i = 5.4 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 = (µ/4r1)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, 7.3 m), (b) (0, 8.1 m, O), (c) (9.6 m, 9.7 m, 0), and (d) (-4.0 m,-5.5 m,0). As (a) B (0,0,7.3 m) = (Number i Units Units (b) |B| (0, 8.1 m, 0) = Number i Units (c) B (9.6 m, 9.7 m, 0) = (Number i (d) B (-4.0 m,-5.5 m,0) = (Number i Units
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