Unterschiede
Hier werden die Unterschiede zwischen zwei Versionen angezeigt.
| Beide Seiten der vorigen Revision Vorhergehende Überarbeitung | |||
| electrical_engineering_and_electronics_1:block18 [2026/01/10 10:40] – mexleadmin | electrical_engineering_and_electronics_1:block18 [2026/01/24 15:38] (aktuell) – mexleadmin | ||
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| Zeile 203: | Zeile 203: | ||
| For constant $|\vec{v}|$ and $|\vec{B}|$ this leads to: | For constant $|\vec{v}|$ and $|\vec{B}|$ this leads to: | ||
| \begin{align*} | \begin{align*} | ||
| - | u_{\rm ind} &= - v \cdot B \cdot l \\ | + | u_{\rm ind}&= - \vec{v} \times \vec{B} \cdot \vec{l} \\ |
| + | |u_{\rm ind} | & | ||
| \end{align*} | \end{align*} | ||
| Zeile 273: | Zeile 274: | ||
| ===== 18.2 Common pitfalls ===== | ===== 18.2 Common pitfalls ===== | ||
| - | * ... | + | * Confusing the orientation of force → current and velocity → induced voltage on the right hand rule: \\ always have the cause on thumb, always have the effect on the middle finger: |
| + | * (Lorentz) Force on a current: $\vec{F}_L = I \cdot \vec{l} \times \vec{B}$. \\ The current (thumb) causes a force (middle finger) on the conductor. \\ Without the current there would be no force. | ||
| + | * A conductor gets moved through a magnetic field: $u_{\rm ind}= - \vec{v} \times \vec{B} \cdot \vec{l} $. \\ A possible induced current is based the induced voltage. \\ The movement (thumb) causes a voltage and current (middle finger) on the conductor. \\ Without the movement there would be no voltage / current. | ||
| ===== 18.3 Exercises ===== | ===== 18.3 Exercises ===== | ||