Abstract: A fluxgate sensor has a coil body defining a bore and an axis. A coil is wound on the coil body around the axis. A ferromagnetic core is located in the bore and extends beyond either end of the coil, to improve the sensitivity of the sensor. The core may be elongate and have a non-circular profile such as a zig zag pattern. In a gradiometer, the core configuration facilitates balancing of two sensors by either radial or axial adjustment of the core.