I have read an article on electrostatics textbook that, $$\vec {F}= \nabla {\vec {\tau} }$$ Such as,the toraue equation on a magnetic dipole is $$ \vec\tau={\frac{{\mu}_0 m^2}{2\pi z^3} }\hat{z} $$ The the force on this dipole is $$\vec{F}=-{\frac{{3\mu}_0 m^2}{2\pi z^4} } \hat {z}$$ Can anyone help me proving this?

  • 2
    $\begingroup$ Is that supposed to be the curl? Because the gradient of a vector is generally a dyad (a tensor) and divergence a scalar $\endgroup$ – Kyle Kanos Mar 12 at 15:28
  • $\begingroup$ Where did you read this, in particular? $\endgroup$ – probably_someone Mar 12 at 15:28

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