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184_notes:changing_e [2017/11/30 22:19] – [Extra Term to Ampere's Law] dmcpadden | 184_notes:changing_e [2021/07/22 13:47] (current) – schram45 | ||
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Section 23.1 in Matter and Interactions (4th edition) | Section 23.1 in Matter and Interactions (4th edition) | ||
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===== Changing Electric Fields ===== | ===== Changing Electric Fields ===== | ||
- | We have spent the last three weeks talking about what happens when you have a changing magnetic field. We found that this changing magnetic field creates a curly electric field. A changing magnetic field then became another source of electric fields. You may then be wondering what happens if you have a changing electric field? We have already seen through Faraday' | + | We have spent the last two weeks talking about what happens when you have a changing magnetic field. We found that this changing magnetic field creates a curly electric field. A changing magnetic field then became another source of electric fields. You may then be wondering what happens if you have a changing electric field? We have already seen through Faraday' |
{{youtube> | {{youtube> | ||
- | ==== Extra Term to Ampere' | + | ===== Extra Term to Ampere' |
From Faraday' | From Faraday' | ||
$$\int \vec{B} \bullet d\vec{l} = \mu_0 I_{enc}$$ | $$\int \vec{B} \bullet d\vec{l} = \mu_0 I_{enc}$$ | ||
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This term that we added to Ampere' | This term that we added to Ampere' | ||
- | ==== Why this Matters ==== | + | ===== Why this Matters |
With this final piece of the puzzle, we can actually say something really important about how electric and magnetic fields work. If we //__assume that there are no current-carrying wires nearby__//, then we have a set of two equations that say that: | With this final piece of the puzzle, we can actually say something really important about how electric and magnetic fields work. If we //__assume that there are no current-carrying wires nearby__//, then we have a set of two equations that say that: | ||
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==== Examples ==== | ==== Examples ==== | ||
- | [[: | + | * [[: |
+ | * Video Example: Magnetic Field from a Charging Capacitor | ||
+ | {{youtube> |