Diagram for calculating torque and force on magnetic dipoles ** a** and

**, where: $m_a$ and $m_b$ are the magnetic dipole moments (A·m**

*b*^{2}), $\hat m_a$ and $\hat m_b$ are the unit vectors in directions of the dipole vectors, $\hat r$ is the unit vector along the direction from the centre of the

*a*dipole to the centre of

*b*dipole, $\vec r$ is the vector between the centres of

*a*and

*b*(m), $r$ is the distance between the centre of the dipoles (m), $\vec m_a$ and $\vec m_b$ are the dipole moment vectors (A·m

^{2}), $\vec d_a$ and $\vec d_b$ - infinitesimal vector of the paths

*a*and

*b*, respectively (m), $\vec R$ - vector from $\vec d_a$ to $\vec d_b$ (m).

The drawing was created after: Peter B. Landecker, Daniel D. Villani, Kar W. Yung, An analytic solution for the torque between two magnetic dipoles, Magnetic and Electrical Separation, Vol. 10, pp. 29-33

torque_force_2_dipoles_em.png

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