In the figure, part of a long insulated wire carrying current i = 5.11 mA is ben

Question

In the figure, part of a long insulated wire carrying current i = 5.11 mA is bent into a circular section of radius R = 9.06 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 degree counterclockwise as indicated? Number Units Number Units Number Units Number Units Number Units Number Units

Explanation / Answer

if the circular cross section lies in the plane of the page,then magnetic field at the center is along +Z-axis

there is components of fields along x and y -axis

then Bx = By = 0 and Bz = mu_o*i/(2*R) = (4*3.142*10^-7*5.11*10^-3)/(2*9.06*10^-2) = 3.54*10^-8 T

if the circular section is perpendicular to the plane of the page ,then there is magnetic field along X-axis and there is no component of magnetic fields along Y and Z-axis

then Bx = mu_o*i/(2*R) = 3.54*10^-8 T

By = Bz = 0 T

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