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184_notes:examples:week10_current_segment [2018/07/03 14:42] – curdemma | 184_notes:examples:week10_current_segment [2021/07/07 18:01] (current) – schram45 |
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===Approximations & Assumptions=== | ===Approximations & Assumptions=== |
* The current is steady, and the wire segment is uniform. | * The current is steady: This means the current is not changing with time or space through our segment and is just a constant. |
| * The segment is straight and uniform: This will simplify down our model to where the segment only extends in a single direction, simplifying the separation vector. Also, assuming the segment is uniform (in properties and dimensions) means the current in the segment will be constant, as any discontinuities could have effects on the current. |
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===Representations=== | ===Representations=== |
&= \frac{\mu_0}{2 \pi}\frac{I}{L}\hat{z} | &= \frac{\mu_0}{2 \pi}\frac{I}{L}\hat{z} |
\end{align*} | \end{align*} |
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| You can try to do this by adjusting your x-y coordinate system as well (this is in the example video), and you will get the exact same solution. This is a great way to get some practice solving these problems and it gives you other solutions to check your answer with. |