For my science fair i am attempting to make a linear induction flashlight. I am a bit confused on how to demonstrate the scientific effects mathematically. I would greatly appreciate any help. Farradays law states EMF= -N(change in flux/ change in time). I am confused about how to find the change in flux. I have found the magnetic field to be 1006.842 Gauss at one inches away from the AXIS. Can i plug this figure into faraday's equation with respect to my design below? My concern is that the flux density at the axis will not accurately reflect the flux density which acts upon the the coil, which is not perpendicular to the axis. If i am correct, the induced voltage is contingent on the the field lines perpendicular to the direction of the current. Also, how do i demonstrate the implication of the magnets speed when shaken on the induced voltage ? Any contributions are appreciated.