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electrical_engineering_and_electronics_1:block16 [2025/11/23 12:18] mexleadminelectrical_engineering_and_electronics_1:block16 [2025/11/23 12:21] (aktuell) mexleadmin
Zeile 121: Zeile 121:
 \end{align*} \end{align*}
 \begin{align*} \begin{align*}
-\boxed{H = {{N \cdot I}\over{l}}} \quad \quad \quad \text{longitudinal coil}+\boxed{H = {{N \cdot I}\over{l}}}  \biggr _\text{longitudinal coil}
 \end{align*} \end{align*}
  
Zeile 136: Zeile 136:
   * The major radius $R$: The distance from the center of the entire toroid (the center of the hole) to the center of the circular cross-section of the coil.   * The major radius $R$: The distance from the center of the entire toroid (the center of the hole) to the center of the circular cross-section of the coil.
 For reasons of symmetry, it shall get clear that the field lines form concentric circles. \\ For reasons of symmetry, it shall get clear that the field lines form concentric circles. \\
-Also the magnetic field strength $H$ in a toroidal coil is often considered as homogenious, when $R \gg r$.+Also the magnetic field strength $H$ in a toroidal coil is often considered as homogenious, when $R \gg r$. With a given number $N$ of windings, the magnetic field strength $H$ is
  
 \begin{align*} \begin{align*}
Zeile 142: Zeile 142:
 \end{align*} \end{align*}
 \begin{align*} \begin{align*}
-\boxed{H = {{N \cdot I}\over{2\pi R}}} \quad \quad \quad \text{toroidal coil}+\boxed{H = {{N \cdot I}\over{2\pi R}}} \biggr _\text{toroidal coil}
 \end{align*} \end{align*}