1. The problem statement, all variables and given/known data Consider an infinite line of charge with density λ per unit length lying along the z-axis. If the line of charge is stationary in frame S, use the Lorentz transform to find the current and charge densities in a frame S' which is moving with velocity v parallel to the z-axis of S. 2. Relevant equations 4 current defined as [tex] j_\mu = (J_1,J_2,J_3,c\rho) [/tex] 3. The attempt at a solution In S I find [tex] j_\mu = (0,0,0,c\lambda) [/tex] then applying the Lorentz transform to find [tex] j'_\mu = (-\gamma\beta c \lambda,0,0,\gamma c \lambda) [/tex] in S' Is this correct?