A Hall Effect sensor , comprising: a) a toroid including a gap , the gap including opposed surfaces , the opposed surfaces being substantially planar and substantially parallel to one another, the toroid being configured to accommodate at least a portion of a conductor positioned along a central axis of the toroid , the toroid having a plane bisecting and extending substantially perpendicular to the opposed surfaces , which plane extends substantially parallel to a principle magnetic field concentrated in the gap of the toroid when current flows through the conductor ; b) a pair of first Hall element sensors positioned at least partially within the gap of the toroid ; and c) a second Hall element sensor positioned at least partially within the gap of the toroid and substantially coincident with plane and the principle magnetic field and substantially perpendicular to each of the opposed surfaces ; and characterized in that the first of the pair of first Hall element sensors is oriented at a first angle relative to the central or principle magnetic field and defines a sensor plane and the second of the pair of first Hall element sensors is oriented at an angle relative to the plane or principle magnetic field and defines sensor plane ; the first of the pair of first Hall element sensors is oriented at an angle relative to the second of the pair of first Hall element sensors , wherein angle is about 15°, about 30°, about 45°, about 60°, about 120° or about 150°; the angle of orientation of the first of the pair of first Hall element sensors relative to the plane is the same as the angle of orientation of the second of the pair of first Hall element sensors and the plane intersects sensor plane and sensor plane at a line of intersection , which is parallel with opposed surfaces of the gap. a) a toroid including a gap , the gap including opposed surfaces , the opposed surfaces being substantially planar and substantially parallel to one another, the toroid being configured to accommodate at least a portion of a conductor positioned along a central axis of the toroid , the toroid having a plane bisecting and extending substantially perpendicular to the opposed surfaces , which plane extends substantially parallel to a principle magnetic field concentrated in the gap of the toroid when current flows through the conductor ; b) a pair of first Hall element sensors positioned at least partially within the gap of the toroid ; and c) a second Hall element sensor positioned at least partially within the gap of the toroid and substantially coincident with plane and the principle magnetic field and substantially perpendicular to each of the opposed surfaces ; and characterized in that the first of the pair of first Hall element sensors is oriented at a first angle relative to the central or principle magnetic field and defines a sensor plane and the second of the pair of first Hall element sensors is oriented at an angle relative to the plane or principle magnetic field and defines sensor plane ; the first of the pair of first Hall element sensors is oriented at an angle relative to the second of the pair of first Hall element sensors , wherein angle is about 15°, about 30°, about 45°, about 60°, about 120° or about 150°; the angle of orientation of the first of the pair of first Hall element sensors relative to the plane is the same as the angle of orientation of the second of the pair of first Hall element sensors and the plane intersects sensor plane and sensor plane at a line of intersection , which is parallel with opposed surfaces of the gap. <EOS>