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In this work, we calculate the classical solutions for the electrodynamicsstemming from the Lorentz-violating (LV) and CPT-even term of the StandardModel Extension. The solutions for point-like and extended charges are obtainedfrom the wave equations by means of the Green method. A dipolar expansion iswritten for the field strengths. It is explicitly shown that charge and currentgenerate first order effects for the magnetic and electric fields,respectively. Using the magnetic field generated by a macroscopic 1C chargedsphere, we establish a stringent bound for the LV parameter:$\kappa \leq10^{-16}.$

Classical solutions for the Lorentz-violating and CPT-even term of the Standard Model Extension