Does levitation distance increase as Fg increase???

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SUMMARY

The discussion centers on an experiment to calculate magnetic field strength by comparing levitation distances between two magnets, utilizing the formula mg = Fg = Fm = A*B^2/u0, where Fg represents gravitational force, Fm is magnetic force, A is the area, and B is the magnetic field strength. The experimenter notes an unexpected relationship between gravitational force and levitation distance, hypothesizing that increased mass should lead to decreased levitation distance, which contradicts their findings. Clarification is sought regarding the role of area (A) and the inclusion of levitation distance in the equation.

PREREQUISITES
  • Understanding of magnetic field strength and its calculation
  • Familiarity with gravitational force and its relationship to mass
  • Knowledge of the formula mg = Fg = Fm = A*B^2/u0
  • Basic principles of magnetic repulsion and levitation
NEXT STEPS
  • Research the relationship between mass, gravitational force, and magnetic levitation
  • Explore the concept of magnetic field strength and its measurement techniques
  • Investigate the role of area (A) in magnetic force calculations
  • Examine alternative approaches to measuring levitation distance in magnetic systems
USEFUL FOR

Students and researchers in physics, particularly those focused on magnetism and gravitational interactions, as well as experimenters conducting studies on magnetic levitation.

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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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