Does levitation distance increase as Fg increase???

AI Thread Summary
The discussion focuses on an experiment to measure magnetic field strength by analyzing levitation distances between two magnets while varying the mass used to anchor them. The participant uses the formula mg = Fg = Fm = A*B^2/u0, where Fg represents gravitational force and Fm represents magnetic force. They observe an unexpected relationship between gravitational force and levitation distance, questioning why an increase in mass does not lead to a decrease in levitation radius as anticipated. Additionally, they seek clarification on the definition of area (A) in the equation and how levitation distance is incorporated. The conversation highlights the complexities of magnetic and gravitational interactions in experimental setups.
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Homework Statement
need help with mag lev equation
Relevant Equations
The formula I am using for this is mg = Fg = Fm = A*B^2/u0 (permeability constant); B = magnetic field strength. Manipulated is Fg, and responding is A (the area).
I'm trying to conduct an experiment where I calculate the magnetic field strength of a magnet, by comparing the levitation distances between two magnets. My experiment involves using different masses to anchor down magnetic repulsion between 2 magnets. Fg = Fm.

The formula I am using for this is mg = Fg = Fm = A*B^2/u0 (permeability constant); B = magnetic field strength. Manipulated is Fg, and responding is A (the area).

The problem is I see a weird relationship between the force of gravity and levitation distance. I assume that as the mass increases Fg increases, therefore, the radius should decrease as well. This isn't true for this equation. Can anyone explain why or suggest a different approach to what I am doing?
 
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What is A the area of, and where does the "levitation distance" feature in your equation?
 
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