If the wire is cut or broken, the earth ground circuit path is interrupted, allowing the transistor to turn on. This will activate a very loud piezoelectric type siren. I show the use of a cheap 9v battery but a long lasting 12v battery can also be used. The circuit’s current drain is a very low 2 microamps during normal operation, so any battery will last many years. The popular 2N7000 MOSFET transistor is good for about 200ma. I would suggest an n-channel device with a higher current rating, if you plan on using a louder, more powerful siren alarm. As an example, the IRFZ34 device could drive a 10 amp siren. All of these parts are available from www.mouser.com.

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