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SOLVED: Consider two perfectly-conducting concentric thin cylindrical shells of infnite length with axes along the z-axis and radii a and b (a < b), current I flow in the positive z-direction in each shell. Obtain an expression for the current density of this set-up. Further, explicitly calculate the total current by performing the 2d integral of the current density over the area of a circle of radius R with R > b.
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