Relationship between density of energy and magnetic force

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Main Question or Discussion Point

What is the relationship between density of energy stored in a magnetic field and the magnetic force?
 

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  • #2
DEvens
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F = q v X B

Homework: Look up the energy density of a magnetic field.
 
  • #3
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The energy of a density field is ((B_0)^{2}) / (2\mu). I am looking for a direct formula as such linking these two. Lets say I have the value for density of energy, how can we find the magnetic force?
 
  • #4
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Solve the energy density for B. Then substitute that into the expression for F. Note, you will only be able to solve for the magnitude.
 

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