The current density across a cylindrical conductor of radius R varies in magnitude according to the equation J = J0 ( 1−r/R ) where r is the distance from the central axis. Thus, the current density is a maximum J0 at that axis (r = 0) and decreases linearly to zero at the surface (r = R). Calculate the current in terms of J0 and the conductor ‘s cross – sectional area A = πR2.

