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, 0), (c) (9.6 m, 9.7 m, 0), and (d) (-4.0 m,-5.5 m,0). (a) B (0,0, 7.3 m) = (Number Units nT 5.1e-10 (b) [B| (0,8.1 m, 0) = Number Units T (c) B (9.6 m, 9.7 m, 0) = (Number i -1.0e-10 Units pT (d) B (-4.0 m,-5.5 m,0) = (Number i 3.4e-10 Units nT

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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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/4t)i As (sin 0)/r². This is becauser 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, 0), (c) (9.6 m, 9.7 m, 0), and
(d) (-4.0 m,-5.5 m,0).
(a) B (0,0,7.3 m) = (Number i
5.1e-10
Units nT
(b) |B| (0,8.1 m, 0) = Number
Units T
(c) B (9.6 m, 9.7 m, 0) = (Number
i
- 1.0e-10
Units
pT
(d) B (-4.0 m,-5.5 m,0) = (Number i
3.4e-10
Units nT
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/4t)i As (sin 0)/r². This is becauser 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, 0), (c) (9.6 m, 9.7 m, 0), and (d) (-4.0 m,-5.5 m,0). (a) B (0,0,7.3 m) = (Number i 5.1e-10 Units nT (b) |B| (0,8.1 m, 0) = Number Units T (c) B (9.6 m, 9.7 m, 0) = (Number i - 1.0e-10 Units pT (d) B (-4.0 m,-5.5 m,0) = (Number i 3.4e-10 Units nT
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