An integrated sensor includes a magnetoresistance element electrically coupled to a device disposed on or integrated in a silicon substrate. A conductor is provided proximate to the magnetoresistance element. The integrated sensor can be used to provide various devices, such as a current sensor, a magnetic field sensor, or an isolator. Further, the integrated sensor can be used in an open loop configuration or in a closed loop configuration in which an additional conductor is provided. The magntoresistance element may be formed over the silicon substrate or on a separate, non-silicon substrate. Also described is an integrated sensor comprising a substrate, a magnetic field transducer disposed over a surface of the substrate, and a conductor disposed over the surface of the substrate proximate to the magnetic field transducer. The magnetic field transducer can be a Hall effect transducer or a magnetoresistance element.