Unterschiede
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| Beide Seiten der vorigen Revision Vorhergehende Überarbeitung | |||
| electrical_engineering_and_electronics_1:block09 [2025/11/22 19:47] – mexleadmin | electrical_engineering_and_electronics_1:block09 [2026/01/10 13:00] (aktuell) – mexleadmin | ||
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| ====== Block 09 - Force on Charges and electric Field Strength ====== | ====== Block 09 - Force on Charges and electric Field Strength ====== | ||
| - | ~~PAGEBREAK~~ ~~CLEARFIX~~ | + | ===== 9.0 Intro ===== |
| - | ===== Learning objectives | + | |
| + | ==== 9.0.1 Learning objectives ==== | ||
| < | < | ||
| By the end of this section, you will be able to: | By the end of this section, you will be able to: | ||
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| ~~PAGEBREAK~~ ~~CLEARFIX~~ | ~~PAGEBREAK~~ ~~CLEARFIX~~ | ||
| - | ===== Preparation at Home ===== | + | ==== 9.0.2 Preparation at Home ==== |
| And again: | And again: | ||
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| ~~PAGEBREAK~~ ~~CLEARFIX~~ | ~~PAGEBREAK~~ ~~CLEARFIX~~ | ||
| - | ===== 90-minute plan ===== | + | ==== 9.0.3 90-minute plan ==== |
| - Warm-up (8–10 min): | - Warm-up (8–10 min): | ||
| - Quick recall quiz: units of $Q$, $\vec{E}$, $\vec{F}$; passive sign convention for forces on a **positive** test charge. | - Quick recall quiz: units of $Q$, $\vec{E}$, $\vec{F}$; passive sign convention for forces on a **positive** test charge. | ||
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| - Summary map: charges → $\vec{E}$ → $\vec{F}$; key properties and units. | - Summary map: charges → $\vec{E}$ → $\vec{F}$; key properties and units. | ||
| - | ===== Conceptual overview | + | ==== 9.0.4 Conceptual overview ==== |
| <callout icon=" | <callout icon=" | ||
| - **Fields separate cause and effect**: charges set up a state in space (the field) that exists whether or not a test charge is present. | - **Fields separate cause and effect**: charges set up a state in space (the field) that exists whether or not a test charge is present. | ||
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| ~~PAGEBREAK~~ ~~CLEARFIX~~ | ~~PAGEBREAK~~ ~~CLEARFIX~~ | ||
| - | ===== Core content ===== | + | ===== 9.1 Core content ===== |
| - | ==== Electric Effects ==== | + | ==== 9.1.1 Electric Effects ==== |
| Every day life teaches us that there are various charges and their effects. The image <imgref ImgNr01> depicts a chargeable body that can be charged through charge separation between the sole and the floor. The movement of the foot generates a negative surplus charge in the body, which progressively spreads throughout the body. A current can flow even through the air if a pointed portion of the body (e.g., a finger) is brought into close proximity to a charge reservoir with no extra charges. | Every day life teaches us that there are various charges and their effects. The image <imgref ImgNr01> depicts a chargeable body that can be charged through charge separation between the sole and the floor. The movement of the foot generates a negative surplus charge in the body, which progressively spreads throughout the body. A current can flow even through the air if a pointed portion of the body (e.g., a finger) is brought into close proximity to a charge reservoir with no extra charges. | ||
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| Furthermore, | Furthermore, | ||
| - | ==== Fields ==== | + | ==== 9.1.2 Fields ==== |
| The concept of a field will now be briefly discussed in more detail. | The concept of a field will now be briefly discussed in more detail. | ||
| Zeile 114: | Zeile 115: | ||
| </ | </ | ||
| - | ==== The electric Field ==== | + | ==== 9.1.3 The electric Field ==== |
| We had already considered the charge as the central quantity of electricity in [[block02]] and recognized it as a multiple of the elementary charge. | We had already considered the charge as the central quantity of electricity in [[block02]] and recognized it as a multiple of the elementary charge. | ||
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| - | ==== Direction of the Coulomb force and Superposition ==== | + | ==== 9.1.4 Direction of the Coulomb force and Superposition ==== |
| In the case of the force, only the direction has been considered so far, e.g., direction towards the sample charge. For future explanations, | In the case of the force, only the direction has been considered so far, e.g., direction towards the sample charge. For future explanations, | ||
| Zeile 174: | Zeile 175: | ||
| </ | </ | ||
| - | ==== Energy required to Displace a Charge in the electric Field ==== | + | ==== 9.1.5 Energy required to Displace a Charge in the electric Field ==== |
| Now we want to see, whether we can derive the required energy to displace a charge in the electric field. \\ | Now we want to see, whether we can derive the required energy to displace a charge in the electric field. \\ | ||
| Zeile 195: | Zeile 196: | ||
| ~~PAGEBREAK~~ ~~CLEARFIX~~ | ~~PAGEBREAK~~ ~~CLEARFIX~~ | ||
| - | ===== Common | + | ===== 9.2 Common |
| * Treating **force** and **field** as the same thing; forgetting $\vec{F}=q\, | * Treating **force** and **field** as the same thing; forgetting $\vec{F}=q\, | ||
| * Mixing units (${\rm N}$, ${\rm C}$, ${\rm V}$, ${\rm m}$): not recognizing $1~{\rm N/C}=1~{\rm V/m}$. | * Mixing units (${\rm N}$, ${\rm C}$, ${\rm V}$, ${\rm m}$): not recognizing $1~{\rm N/C}=1~{\rm V/m}$. | ||
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| * Forgetting conductor boundary facts: lines must be **perpendicular** to ideal conducting surfaces; interior **$|\vec{E}|=0$** in electrostatics. | * Forgetting conductor boundary facts: lines must be **perpendicular** to ideal conducting surfaces; interior **$|\vec{E}|=0$** in electrostatics. | ||
| | | ||
| - | ===== Exercises ===== | + | ===== 9.3 Exercises ===== |
| <panel type=" | <panel type=" | ||