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The current density across a cylindrical...

The current density across a cylindrical conductor of radius R varies in magnitude according to the equation `J = J_0(1 - (r )/(R ))` where r is the distance from the central axis. Thus, the current density is a maximum `J_0` at that axis (r = 0) and decreases linearly to zero at the surface (r = R). Calculate the current in terms of `J_0` and the conductor 's cross - sectional area `A = piR^2`.

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