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| 184_notes:examples:week5_flux_cylinder_line [2018/07/24 15:20] – curdemma | 184_notes:examples:week5_flux_cylinder_line [2021/06/04 00:54] (current) – schram45 | ||
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| ===Lacking=== | ===Lacking=== | ||
| * Φe for the cylinder. | * Φe for the cylinder. | ||
| - | |||
| - | ===Approximations & Assumptions=== | ||
| - | * There are no other charges that contribute appreciably to the flux calculation. | ||
| - | * The cylinder is aligned with respect to the line so that its bases are perpendicular to the line, and its wall is parallel (as described). | ||
| - | * Line of charge is very very long | ||
| ===Representations=== | ===Representations=== | ||
| Line 24: | Line 19: | ||
| * We represent the situation with the following diagram. | * We represent the situation with the following diagram. | ||
| [{{ 184_notes: | [{{ 184_notes: | ||
| + | |||
| + | <WRAP TIP> | ||
| + | ===Approximations & Assumptions=== | ||
| + | There are a few approximations and assumptions we should make in order to simplify our model. | ||
| + | * There are no other charges that contribute appreciably to the flux calculation. | ||
| + | * The cylinder is aligned with respect to the line so that its bases are perpendicular to the line, and its wall is parallel (as described). This is just a geometric simplification for the model, and ensures the electric field through the cylinder wall is constant as the wall will be at a uniform distance away from the line of charge at any point. | ||
| + | * Line of charge is very very long: This allows us to use the electric field equation provided in the problem statement, and ensures the electric field is constant through the wall of our cylinder. | ||
| + | </ | ||
| + | |||
| ====Solution==== | ====Solution==== | ||
| First, we evaluate the situation qualitatively. Consider the electric field vectors from the charged line near the surface of the cylinder: | First, we evaluate the situation qualitatively. Consider the electric field vectors from the charged line near the surface of the cylinder: | ||