Formula that describes a variable magnetic field

[mgc1301]

1.
I am running a project that encompasses a fixed magnet interacting with a movable metal grid. The gap between the magnet and the metal grid obviously varies therefore the interactive field between these two objects will also vary in strength depending on how close or distant the metal grid is from the magnet. I am struggling to determine a generic formula that would describe the interaction. I am reading the varying field strength as micro volts using a miniature single axis fluxgate. Can anyone help please?


2. Homework Equations

None derived

3. The Attempt at a Solution

 

[jbsteele]

The formula you are looking for is called the "Lorentz force equation." This equation describes the force that the magnet exerts on the metal grid and can be expressed as follows: F = q * (v x B), where q is the charge of the metal grid, v is the velocity of the metal grid, and B is the magnetic field of the magnet. You can use this equation to calculate the force exerted by the magnet on the metal grid. You can then use this force to calculate the microvolt reading from the fluxgate, as it will be proportional to the force.