Skip to main content
Earth, Planets and Space
Fig. 17 | Earth, Planets and Space

Fig. 17

From: An electric circuit model of the Earth’s polar electrojets and field-aligned currents for the estimation of magnetospheric magnetic field from along-track Swarm magnetic data

Fig. 17

The geometry considered to derive the magnetic field generated by a wire lying in the westward auroral electrojet and carrying the Hall current \(I_{\mathrm{HC}}\) along a circular arc. The arc has the geocentric colatitude \(\vartheta _{\mathrm{HC}}\), radius \(a_{\mathrm{HC}}=r_{\mathrm{iono}}\sin \vartheta _{\mathrm{HC}}\) and is shifted along the z axis by \(z_0=r_{\mathrm{iono}}\cos \vartheta _{\mathrm{HC}}\). The arc extends from \(-\alpha _{\mathrm{HC}}\) to \(\alpha _{\mathrm{HC}}\), where \(\alpha _{\mathrm{HC}}\) is the angle counted counterclockwise from the y axis in the horizontal plain. The Hall currents \(I_{\mathrm{HC}}\) are enclosed by the polar-cap Hall current \(I_{\mathrm{PHC}}\) that flow sunwards across the polar cap along the circular arc \(A-A'\)

Back to article page