The current density across a cylindrical conductor of radius R varies in magnitude according to the equation J = J0 (1 + k/r) where r is the distance from the central axis. Find the value of current in terms of J0 and R, in an inner portion of wire from zero to the radial distance R/3 .

Question

The current density across a cylindrical conductor of radius R varies in magnitude according to the equation J = J0 (1 + k/r) where r is the distance from the central axis. Find the value of current in terms of J0 and R, in an inner portion of wire from zero to the radial distance  R/3 .

MJ · Answer

Please both J0 was supposed to be J0(subscript)