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184_notes:dist_charges [2018/06/05 15:31] – curdemma | 184_notes:dist_charges [2019/01/04 00:56] – dmcpadden | ||
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===== Distributions of Charges ===== | ===== Distributions of Charges ===== | ||
- | Over the last three pages of notes, we have talked about [[184_notes: | + | Over the last set of notes, we have talked about [[184_notes: |
==== Sphere of Charge ==== | ==== Sphere of Charge ==== | ||
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Much like what happened with the metal sphere, if we place an excess charge - let's say it's positive this time - on a metal cylinder (like a wire), those charges will spread out as far as they possibly can from one another (" | Much like what happened with the metal sphere, if we place an excess charge - let's say it's positive this time - on a metal cylinder (like a wire), those charges will spread out as far as they possibly can from one another (" | ||
+ | [{{ 184_notes: | ||
If we think about the electric field inside the cylinder, we would see a similar effect as we did with the metal ball. There will always be a contribution to the electric field from the charges on one side of the cylinder that opposes the electric field contribution from the charges on the other side of cylinder. This means that: | If we think about the electric field inside the cylinder, we would see a similar effect as we did with the metal ball. There will always be a contribution to the electric field from the charges on one side of the cylinder that opposes the electric field contribution from the charges on the other side of cylinder. This means that: | ||
$$E_{inside} = 0$$ | $$E_{inside} = 0$$ | ||
This is actually a larger pattern in all conductors - **the electric field inside a conductor should always equal zero**. | This is actually a larger pattern in all conductors - **the electric field inside a conductor should always equal zero**. | ||
- | [{{ 184_notes: | + | |
Outside the cylinder, we would expect the electric field to generally point away from the positively charged cylinder since the electric field points in away from a positive charge. If you actually do the math (either with an integral over the volume of the cylinder or with a computational code), you will see something like this. Particularly, | Outside the cylinder, we would expect the electric field to generally point away from the positively charged cylinder since the electric field points in away from a positive charge. If you actually do the math (either with an integral over the volume of the cylinder or with a computational code), you will see something like this. Particularly, | ||