Does levitation distance increase as Fg increase???

In summary, the question explores whether the distance an object can be levitated increases as gravitational force (Fg) increases. The answer typically involves understanding the balance between gravitational force and the opposing force needed for levitation, such as magnetic or aerodynamic forces. As Fg increases, the required levitation force must also increase, which may not necessarily lead to an increase in levitation distance, as other factors like energy input and system efficiency play significant roles.
  • #1
tanmays1
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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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  • #2
What is A the area of, and where does the "levitation distance" feature in your equation?
 
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