184_notes:examples:week3_superposition_three_points

Differences

This shows you the differences between two versions of the page.

Link to this comparison view

Both sides previous revision Previous revision
Next revision		 Previous revision
Next revisionBoth sides next revision
184_notes:examples:week3_superposition_three_points [2018/05/29 14:25] – curdemma184_notes:examples:week3_superposition_three_points [2021/05/19 14:13] – schram45
Line 14: Line 14:
   * We can use superposition to add electric field contributions from the point charges (vector superposition): $\vec{E}_{tot}=\vec{E}_{1}+\vec{E}_{2}+\vec{E}_3$.   * We can use superposition to add electric field contributions from the point charges (vector superposition): $\vec{E}_{tot}=\vec{E}_{1}+\vec{E}_{2}+\vec{E}_3$.
   * We can use superposition to add electric potential contributions from the point charges (scalar superposition): $V_{tot}=V_1+V_2+V_3$.   * We can use superposition to add electric potential contributions from the point charges (scalar superposition): $V_{tot}=V_1+V_2+V_3$.
 +
 +===Assumptions===
 +  *
  
 ===Representations=== ===Representations===
Line 28: Line 31:
 First, let's find the contribution from Charge 1. The separation vector $\vec{r}_1$ points from the source to the observation ($1\rightarrow P$), so $\vec{r}_1 = 2R\hat{x}$, and $$\hat{r_1}=\frac{\vec{r}_1}{|r_1|}=\frac{2R\hat{x}}{2R}=\hat{x}$$ First, let's find the contribution from Charge 1. The separation vector $\vec{r}_1$ points from the source to the observation ($1\rightarrow P$), so $\vec{r}_1 = 2R\hat{x}$, and $$\hat{r_1}=\frac{\vec{r}_1}{|r_1|}=\frac{2R\hat{x}}{2R}=\hat{x}$$
 Visually, this is what we know about $\hat{r_1}$, and what we expect for $\vec{E}_1$, since Charge 1 is negative: Visually, this is what we know about $\hat{r_1}$, and what we expect for $\vec{E}_1$, since Charge 1 is negative:
-{{ 184_notes:3_superposition_1.png?400 |E-vector and r-hat for Charge 1}}+[{{ 184_notes:3_superposition_1.png?400 |E-vector and r-hat for Charge 1}}]
 Now, we can find $\vec{E}_1$ and $V_1$. Before we show the calculation, though, we need to make an assumption about the electric potential. Now, we can find $\vec{E}_1$ and $V_1$. Before we show the calculation, though, we need to make an assumption about the electric potential.
 <WRAP TIP> <WRAP TIP>
  • 184_notes/examples/week3_superposition_three_points.txt
  • Last modified: 2021/05/19 14:46
  • by schram45