Thank you all for contributing ,
Im just in from working on my trap alarm which is now operational , I was pondering it over and it dawned on me , theres a kind of firm click to the button on the transmitter this seems to actuate a magnet which moves into contact with the coils pole pieces to produce the power .
So yeah ,its not pulling power out of the air at all ;D
Conviction was on the right road , I steered the rest you you up the wrong track , but thanks also for digging down in to the mathmatics involved and disproving my theory .
So what I did was mount up the door bell inside a small tupperware lunch box for extra weather protection ,that gets attached to the wooden frame of the trap ,I drilled a hole through the trap frame and plastic box so a small piece of round wood can act as an actuator , I added a couple of felt pads on the transmittter button ,just for shock absorbsion . Now when the trap is triggered the button is pushed, theres also a little flex in the plastic box to help prevent damage , I used some small screws on the actuator stick limit the amount of push the button gets and two more to prevent it from falling out while the trap is set. Another handy feature of the door bell is multiple chimes , so in theory you could have multiple traps set in a radius around your hide out position ,
I said Id post the link to the original trap vid just for clarity and context,
https://www.youtube.com/watch?v=yvKD6VkoUos