Relationship between density of energy and magnetic force

[ash misty]

Main Question or Discussion Point

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

 

[DEvens]

F = q v X B

Homework: Look up the energy density of a magnetic field.

 

[ash misty]

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?

 

[Dale]

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.