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