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
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
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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Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd9d71f82-a0da-423f-8869-2e89ef384179%2F5930bb09-77c3-4ac8-b9a1-18bd8643c0a9%2Fup9t11a_processed.jpeg&w=3840&q=75)
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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