An augmented reality system includes an electronic contact lens and a plurality of conductive coils to be worn, for instance, around a neck, around an arm, or on a chest of a user. The conductive coils can inductively couple to the electronic contact lens by producing magnetic fields that the electronic contact lens can convert into power. A direction of the resulting magnetic at the electronic contact lens can rotate over time, enabling the electronic contact lens to periodically form a strong inductive coupling with the plurality of conductive coils despite the orientation of the electronic contact lens. The electronic contact lens can also output a feedback signal representative of the power produced at the electronic contact lens or an orientation signal representative of the orientation of the eye, and the magnetic fields produced by the conductive coils can be altered based on the feedback signal or orientation signal.