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Two rings with currents ia and ib become magnets that can either attract orrepel each other. If mechanical work is extracted from this ring system, eitherby bringing closer the rings during an attraction or by separating them as theresult of a repulsion, the energy of the rings, the only existing source ofenergy in the system, decreases: $\frac{1}{2}LI_{a}^{2}+\frac{1}{2}LI_{b}^{2}$If an energy either of attraction or repulsion is communicated to the system,(working against the forces) its energy increases, i.e. the currents in therings increase. This happens because the currents existing in the rings arefree, i.e. not linked to any device which imposes a current (power supply,constant current). Similarly, the effect of electromagnetic induction canincrease or decrease the currents with the corresponding mechanical work linkedto these developments. Not only does the current in the rings decrease as theyget closer during the attraction, but it also can be cancelled and, if theeffect continues, it may even change its direction. An application that alreadyexists is the levitation train. It is attracted by the rail and held on it, butif it is very close to this due to the weight of the goods a strong repulsion(levitation) occurs. Another application would be the accumulation of energy inthese rings, where they can spend large amounts of current, not only because ofits high critical currents but also by the fact that the magnetic flux remainsconstant, cannot increase. Another advantage in this storage system is itsreversibility in the exchange of electromagnetic energy and mechanical work. Inthe energy storage system, the greater the current flowing through the ring,the greater its energy is. In order to attain this, there has been made a studyof the ideal conditions to store as much energy as possible.

Interaction Between Two Ring Shaped YBaCuO Superconductors with currents ia and ib