coordinates of a circular ring are ?
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Answer:
- Find coordinates of the center of mass of a quarter ring of radius placed in the first quadrant of a Cartesian coordinate system, with center at the origin.
Explanation:
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Explanation:
For definiteness, we put μ1=1,μ2=200,r0=1,r1=1.5. Then this problem of constructing images of a ring in a cylinder with high magnetic permeability can be reduced to the optimization problem. As an exact solution for a current loop, we use equations (24) and (25) from the article Simple Analytic Expressions for the Magnetic Field of a Circular Current Loop describing the radial and axial component of the magnetic field induction in the form
Bρ=Bρ(ri,ρ,z),Bz=Bz(ri,ρ,z)
We assume that the magnetic field of such a system can be described as a superposition of the field of the original loop and all its images in the form
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