A battery has an electrode assembly that includes a positive electrode, a negative electrode, and a layer of electrolyte between the positive electrode and the negative electrode. An electric current flow in the positive electrode is unmatched to an electric current flow in the negative electrode, thereby producing a first magnetic field. A magnetic compensation structure is adjacent to the electrode assembly and has body of electrically conductive material connected to one of the positive electrode and the negative electrode. The electric current flowing through the electrode assembly also flows through the body in a pattern that matches the pattern of unmatched electric current in the electrode assembly. As a result a second magnetic field is produced by the magnetic compensation structure that opposes the first magnetic field thereby mitigating magnetic noise from the battery.