  In this work, we calculate the classical solutions for the electrodynamics
stemming from the Lorentz-violating (LV) and CPT-even term of the Standard
Model Extension. The solutions for point-like and extended charges are obtained
from the wave equations by means of the Green method. A dipolar expansion is
written for the field strengths. It is explicitly shown that charge and current
generate first order effects for the magnetic and electric fields,
respectively. Using the magnetic field generated by a macroscopic 1C charged
sphere, we establish a stringent bound for the LV parameter:$\kappa \leq
10^{-16}.$
