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In the figure, part of a long insulated wire carrying current i = 8.72 mA is ben

ID: 2035478 • Letter: I

Question

In the figure, part of a long insulated wire carrying current i = 8.72 mA is bent into a circular section of radius R = 1.72 cm. What are (a) the x-component, (b) the y-component, and (c) the z-component of the magnetic field at the center of curvature C if the circular section lies in the plane of the page as shown? What are (d) the x-component, (e) the y- component, and (f) the z-component of the magnetic field at the center of curvature C if the circular section is perpendicular to the plane of the page after being rotated 90° counterclockwise as indicated? L,

Explanation / Answer

a) B1 = mu0 i / 2 R = (4 pi * 10-7 * 8.72 * 10-3) / (2 * 1.72 * 10-2) = 3.18 * 10-7 T

B2 = mu0 i / 2 pi R = (4 pi * 10-7 * 8.72 * 10-3) / (2 * pi * 1.72 * 10-2) = 1.01 * 10-7 T

B = (3.18 * 10-7) + (1.01 * 10-7) = 4.19 * 10-7 T

x-component = 0

b) y- component = 0

c) z-component = 4.19 * 10-7 T

d) x-component = 3.18 * 10-7 T

e) y- component = 0

f) z-component = 1.01 * 10-7 T

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