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electrical_engineering_and_electronics_1:block09 [2025/10/31 11:20] – mexleadminelectrical_engineering_and_electronics_1:block09 [2025/11/01 00:14] (aktuell) – [Block 09 - Force on charges and electric field strength] 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~~ ~~PAGEBREAK~~ ~~CLEARFIX~~
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     - **Field lines**: definition, drawing rules, sources/sinks, no intersections; relate density to magnitude.     - **Field lines**: definition, drawing rules, sources/sinks, no intersections; relate density to magnitude.
     - **Homogeneous vs. inhomogeneous** fields; conductor boundary facts (perpendicular $\vec{E}$, interior field-free).     - **Homogeneous vs. inhomogeneous** fields; conductor boundary facts (perpendicular $\vec{E}$, interior field-free).
-  - Guided simulations (20–25 min) +  - Guided simulation (20–25 min) 
-  - Practice (10–15 min):+    - Place single and multiple charges; measure $\vec{E}$ at points. 
 +  - Practice (10–15 min) 
 +    - net field on-axis of two charges; quick peer check.
   - Wrap-up (5 min):   - Wrap-up (5 min):
     - Summary map: charges → $\vec{E}$ → $\vec{F}$; key properties and units.     - Summary map: charges → $\vec{E}$ → $\vec{F}$; key properties and units.
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   - **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.
 +  - **Coulomb field of a point charge:** $\displaystyle \vec{E}(\vec{r})=\frac{1}{4\pi\varepsilon}\frac{Q}{r^2}\,\vec{e}_{\rm r}$ (radial; outward for $Q>0$, inward for $Q<0$). Magnitude $|\vec{E}|$ follows the inverse-square law.
   - The **electric field** is a **vector field** $\vec{E}(\vec{x})$; its **direction** is the direction of the force on a *positive* test charge; its **magnitude** is given by the actinv force and the charge with units $1~{\rm N/C}=1~{\rm V/m}$.   - The **electric field** is a **vector field** $\vec{E}(\vec{x})$; its **direction** is the direction of the force on a *positive* test charge; its **magnitude** is given by the actinv force and the charge with units $1~{\rm N/C}=1~{\rm V/m}$.
   - **Point charge** model: inverse-square law; direction is radial, outward for $Q>0$, inward for $Q<0$.   - **Point charge** model: inverse-square law; direction is radial, outward for $Q>0$, inward for $Q<0$.