# choclo.dipole.magnetic_e#

choclo.dipole.magnetic_e(easting_p, northing_p, upward_p, easting_q, northing_q, upward_q, magnetic_moment)[source]#

Easting component of the magnetic field due to a dipole

Returns the easting component of the magnetic field by a single dipole on a single computation point

Parameters
• easting_p (float) – Easting coordinate of the observation point in meters.

• northing_p (float) – Northing coordinate of the observation point in meters.

• upward_p (float) – Upward coordinate of the observation point in meters.

• easting_q (float) – Easting coordinate of the dipole in meters.

• northing_q (float) – Northing coordinate of the dipole in meters.

• upward_q (float) – Upward coordinate of the dipole in meters.

• magnetic_moment (1d-array) – Magnetic moment of the dipole. It should have three components in the following order: mag_moment_easting, mag_moment_northing, mag_moment_upward. Should be in $$A m^2$$.

Returns

b_e (float) – Easting component of the magnetic field generated by the dipole on the observation point in $$\text{T}$$.

Notes

Returns the easting component $$B_x(\mathbf{p})$$ of the magnetic field $$\mathbf{B}$$ on the observation point $$\mathbf{p} = (x_p, y_p, z_p)$$ generated by a single dipole located in $$\mathbf{q} = (x_q, y_q, z_q)$$ and magnetic moment $$\mathbf{m}=(m_x, m_y, m_z)$$.

$B_x(\mathbf{p}) = \frac{\mu_0}{4\pi} \left[ \frac{ 3 (\mathbf{m} \cdot \mathbf{r}) x }{ \lVert r \rVert^5 } - \frac{ m_x }{ \lVert r \rVert^3 } \right]$

where $$\mathbf{r} = \mathbf{p} - \mathbf{q}$$, $$\lVert \cdot \rVert$$ refer to the $$L_2$$ norm and $$\mu_0$$ is the vacuum magnetic permeability.