Application of the Biot–Savart law to parabolic vortex segments using elliptic integrals

Research on radiated interference from diesel locomotive traction motor to cab signalling

“…Based on the Biot–Savart law [34, 35], the magnetic inducted intensity of the current element $$I\mathrm{d}l$$ at any source point $$G$$ on a single‐turn coil at any field point $$e$$ outside the coil is $$$d\overrightarrow{B}=\frac{{\mu }_{0}}{4\pi }\frac{Id\stackrel{\rightharpoonup }{l}\times \stackrel{\rightharpoonup }{r}}{{\vert \stackrel{\rightharpoonup }{r}\vert }^{3}},$$$ where $${\mu }_{0}$$ is the vacuum permeability, $$\stackrel{\rightharpoonup }{r}$$ is the radius vector from the source point $$G$$ to the field point $$e$$, and $$\vert \stackrel{\rightharpoonup }{r}\vert $$ is its modulus value, that is, $$$\vert \stackrel{\rightharpoonup }{r}\vert =\vert \stackrel{\rightha...$$…”

“…Based on the Biot-Savart law [34,35], the magnetic inducted intensity of the current element Idl at any source point G on a single-turn coil at any field point e outside the coil is…”