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| 184_notes:dist_charges [2018/06/05 15:32] – [Cylinders of Charge] curdemma | 184_notes:dist_charges [2020/08/20 16:03] – dmcpadden |
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| [[184_notes:patterns_fields|Next Page: Patterns in Fields]] | /*[[184_notes:patterns_fields|Next Page: Patterns in Fields]] |
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| [[184_notes:linecharge|Previous Page: Line of Charge]] | [[184_notes:linecharge|Previous Page: Line of Charge]]*/ |
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| ===== Distributions of Charges ===== | ===== Distributions of Charges ===== |
| Over the last three pages of notes, we have talked about [[184_notes:line_fields|how we use superposition to find the electric field or electric potential from a line of charge]], how you set up [[184_notes:dq|the dQ and the $\vec{r}$]], and how to use those steps in [[184_notes:linecharge|a specific example]]. For this class, we will expect you to be able to set up these kinds of integrals for a line a charge (1D), but we will not go into the mathematics for 2D or 3D distributions of charge. Even though we won't go into the integral set up or analytical derivation of these fields, it is useful to have an idea of what the electric field would look like around some of these shapes. These notes will show what the electric field looks like for two common shapes of charge (spheres and cylinders) and we will discuss what how these fields change when the material is an insulator or a conductor. | Over the last set of notes, we have talked about [[184_notes:line_fields|how we use superposition to find the electric field or electric potential from a line of charge]], how you set up [[184_notes:dq|the dQ and the $\vec{r}$]], and how to use those steps in [[184_notes:linecharge|a specific example]]. For this class, we will expect you to be able to set up these kinds of integrals for a line a charge (1D), but we will not go into the mathematics for 2D or 3D distributions of charge. Even though we won't go into the integral set up or analytical derivation of these fields, it is useful to have an idea of what the electric field would look like around some of these shapes. These notes will show what the electric field looks like for two common shapes of charge (spheres and cylinders) and we will discuss what how these fields change when the material is an insulator or a conductor. |
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| ==== Sphere of Charge ==== | ==== Sphere of Charge ==== |