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In the figure, two circular arcs have radii a = 14.3 cm and b = 10.1 cm, subtend

ID: 2066922 • Letter: I

Question

In the figure, two circular arcs have radii a = 14.3 cm and b = 10.1 cm, subtend angle  = 76.0°, carry current i = 0.360 A, and share the same center of curvatureP. What are the (a) magnitude and (b) direction (answer in or out to mean into or out of the plane of the figure) of the net magnetic field at P?

In the figure, two circular arcs have radii a = 14.3 cm and b = 10.1 cm, subtend angle = 76.0 degree, carry current i = 0.360 A, and share the same center of curvatureP. What are the (a) magnitude and (b) direction (answer in or out to mean into or out of the plane of the figure) of the net magnetic field at P?

Explanation / Answer

a)

B = i(a-b)/(4ab)

   = 4*3.14e-7*0.360*(0.143-0.101)*(76*3.14/180)/(4*3.14*0.143*0.101)

   = 1.39 * 10^-7 T

b)

into the page

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