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| 184_notes:examples:week3_superposition_three_points [2018/05/29 14:25] – curdemma | 184_notes:examples:week3_superposition_three_points [2021/05/19 14:46] (current) – schram45 |
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| ===Representations=== | ===Representations=== |
| [{{ 184_notes:3_superposition.png?300 |Point Charge Distribution}}] | [{{ 184_notes:3_superposition.png?300 |Point Charge Distribution}}] |
| | |
| | <WRAP TIP> |
| | ===Assumptions=== |
| | * Charge is constant: Simplifies the values of each charge meaning they are not charging or discharging over time. |
| | * Charges are not moving: Simplifies the separation vectors of each charge as these would be changing if the charges were moving through space. |
| | </WRAP> |
| |
| ===Goal=== | ===Goal=== |
| First, let's find the contribution from Charge 1. The separation vector →r1 points from the source to the observation (1→P), so →r1=2Rˆx, and ^r1=→r1|r1|=2Rˆx2R=ˆx
| First, let's find the contribution from Charge 1. The separation vector →r1 points from the source to the observation (1→P), so →r1=2Rˆx, and ^r1=→r1|r1|=2Rˆx2R=ˆx
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| Visually, this is what we know about ^r1, and what we expect for →E1, since Charge 1 is negative: | Visually, this is what we know about ^r1, and what we expect for →E1, 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 →E1 and V1. Before we show the calculation, though, we need to make an assumption about the electric potential. | Now, we can find →E1 and V1. Before we show the calculation, though, we need to make an assumption about the electric potential. |
| <WRAP TIP> | <WRAP TIP> |