What is the equation to find the expected force of electromagnet? What do the variables mean and how do you find each variable?

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neglegir86 · Accepted Answer

The Lorentz force is  J  ×  BYou might combine Maxwell&#039;s equations (while neglecting the timescales for charges to move to conductor surfaces (            ∂              E                    ∂      t      )) to get the induction equation            ∂              B                    ∂      t        +  ∇  ×      (          σ              −        1                    [      ∇      ×                        B                μ            ]        )    =  ∇  ×  (      u    ×      B    )  ,    ∇  ∙      B    =  0.Assuming there&#039;s no moving conductor, we may write this as            ∂              B                    ∂      t        =  −  ∇  ×      (          σ              −        1                    [      ∇      ×                        B                μ            +                        J                          e          x          t          e          r          n          a          l                    ]        )    .Where             J              e      x      t      e      r      n      a      l       is the externally applied current. The magnetic field can be solved from the induction equation, and current (      J  ) may be found from ampere&#039;s law       J    =  ∇  ×            B        μ  In summary, the induction equation can help give you some intuition as to how the magnetic field behaves, this gives you information about the magnetic field and current (via ampere&#039;s law).

What is the equation to find the expected force of electromagnet? What do the variables mean and how do you find each variable?

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