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Escher360
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Homework Statement
A wire ring lies in the xy-plane with its center at the origin. The ring carries a counter clockwise current I. A uniform magnetic fireld B is the the +x direction.
There are a few parts to the question (Note: Everything except for I is a vector):
1. show that dL = R*d(theta)*(-sin(theta)i + cos(theta)j) and from this Find dF = I*dL x B
2. From part 1, find d(tau) = r x dF. Where r = R(cos(theta)i + sin(theta)j) is the vector from the center of the loop of the element to dl. (dl is perpendicular to r). Show that the result can be written as: tau = mu x B.
Homework Equations
dL = R*d(theta)*(-sin(theta)i + cos(theta)j)
dF = I*dL x B
d(tau) = r x dF
r = R(cos(theta)i + sin(theta)j)
tau = mu x B
i is the x-direction
and j is in the y.
The Attempt at a Solution
Probably not worth writing