Consider an infinite plane of conductivity through which a constant current flows

Consider an infinite plane of conductivity through which a constant current flows

Consider an infinite plane of conductivity through which a constant current flows. In this plane there sits a disk of radius 1 with conductivity .
Normally this disk will distort the current flow as it is more conductive than the plane, however we will “cloak” this disk by
placing an annulus 1 of less conductive material around the disk to counter act it’s conductivity. Determine the necessary thickness of the annulus to successfully cloak the disk, that is find c.Additional Requirements

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Thickness and Area of an Annulus

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