These are sensitive linear hall effect sensors that require a supply voltage of 4.5 to 5.5 volts and have a linear, voltage output. They are rated at 5mv per G (gauss) and are dead simple to use. Just hook up the output to an ADC pin on a BBB, Arduino, JeeNode or other microcontroller.
These simple sensors really excel as current sensors (since any AC current in a wire generates it’s own magnetic field) and I easily was able to sense the line current from my electric coffeepot and toaster, just from mounting the sensor next to the line cord, with no electrical connection. With a bit of practice and tweaking of my code I was able sense whether a 100 watt bulb in a lamp was on or off.
Resources
A1321 datasheet