Aconstant electric current flows through an infinite cylindricalnon-magnetic conductor of radius a. The axially symmetric currentdensity j(r) depends on the distancer from the cylinder axis: j(r)= j0 (a/r), where j0 is a positive constant. Determine the magneticvector potential A(r) inside and outside this conductor, solvingLaplace's equation for the vector potential:
ΠA=-μ0 j
vector A, j
A constant electric current flows through an infinite cylindrical non-magnetic conductor of radius a. The axially symmetric current density j(r) depends on the distancer from the cylinder axis: j(r) = j0 (a/r), where j0 is a positive constant. Determine the magnetic vector potential A(r) inside and outside this conductor, solving Laplace's equation for the vector potential:delta A=-mu0 jvector A, j