Unterschiede
Hier werden die Unterschiede zwischen zwei Versionen angezeigt.
| Beide Seiten der vorigen Revision Vorhergehende Überarbeitung Nächste Überarbeitung | Vorhergehende Überarbeitung | ||
| electrical_engineering_and_electronics_1:block16 [2025/11/23 12:21] – mexleadmin | electrical_engineering_and_electronics_1:block16 [2026/01/10 12:46] (aktuell) – mexleadmin | ||
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| Zeile 1: | Zeile 1: | ||
| ====== Block 16 - Ampère' | ====== Block 16 - Ampère' | ||
| - | ===== Learning objectives | + | ===== 16.0 Intro ===== |
| + | |||
| + | ==== 16.0.1 | ||
| < | < | ||
| After this 90-minute block, you can | After this 90-minute block, you can | ||
| Zeile 7: | Zeile 9: | ||
| </ | </ | ||
| - | ===== Preparation at Home ===== | + | ==== 16.0.2 |
| Well, again | Well, again | ||
| Zeile 16: | Zeile 18: | ||
| * ... | * ... | ||
| - | ===== 90-minute plan ===== | + | ==== 16.0.3 |
| - Warm-up (x min): | - Warm-up (x min): | ||
| - .... | - .... | ||
| Zeile 24: | Zeile 26: | ||
| - Wrap-up (x min): Summary box; common pitfalls checklist. | - Wrap-up (x min): Summary box; common pitfalls checklist. | ||
| - | ===== Conceptual overview | + | ==== 16.0.4 |
| <callout icon=" | <callout icon=" | ||
| - ... | - ... | ||
| </ | </ | ||
| - | ===== Core content ===== | + | ===== 16.1 Core content ===== |
| - | ===== Generalization of the Magnetic Field Strength | + | ==== 16.1.1 |
| So far, only the rotational symmetric problem of a single wire was considered in formula. I.e a current $I$ and the length $s$ of a magnetic field line around the wire was given to calculate the magnetic field strength $H$: | So far, only the rotational symmetric problem of a single wire was considered in formula. I.e a current $I$ and the length $s$ of a magnetic field line around the wire was given to calculate the magnetic field strength $H$: | ||
| Zeile 104: | Zeile 106: | ||
| ~~PAGEBREAK~~ ~~CLEARFIX~~ | ~~PAGEBREAK~~ ~~CLEARFIX~~ | ||
| - | ==== Recap of the fieldline images ==== | + | ==== 16.1.2 |
| <WRAP group>< | <WRAP group>< | ||
| Zeile 114: | Zeile 116: | ||
| A longitudinal coil can be seen in <imgref BildNr04> | A longitudinal coil can be seen in <imgref BildNr04> | ||
| + | |||
| + | The created field density of the coil can be derived from Ampere' | ||
| + | |||
| + | \begin{align*} | ||
| + | \theta(t) &= \int & \vec{H}(t) \cdot {\rm d}\vec{s} \\ | ||
| + | &= \int & \vec{H}_{\rm inner}(t) \cdot {\rm d}\vec{s} & + & \int \vec{H}_{\rm outer}(t) \cdot {\rm d} \vec{s} \\ | ||
| + | &= \int & \vec{H}(t) \cdot {\rm d}\vec{s} | ||
| + | & | ||
| + | \end{align*} | ||
| + | |||
| The magnetic field in a toroidal coil is often considered as homogenious in the inner volume, when the length $l$ is much larger than the diameter: $l \gg d$. \\ | The magnetic field in a toroidal coil is often considered as homogenious in the inner volume, when the length $l$ is much larger than the diameter: $l \gg d$. \\ | ||
| With a given number $N$ of windings, the magnetic field strength $H$ is | With a given number $N$ of windings, the magnetic field strength $H$ is | ||
| Zeile 148: | Zeile 160: | ||
| - | ===== Common pitfalls ===== | + | ===== 16.2 Common pitfalls ===== |
| * ... | * ... | ||
| - | ===== Exercises ===== | + | ===== 16.3 Exercises ===== |
| <panel type=" | <panel type=" | ||