- #1

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## Homework Equations

Ampere's Law:

∫B

_{||}ds = μ

_{0}*I

**3. The Attempt at a Solution :**

I'm completely lost on where to even start this question. I guess that you may have to use a Gausian cylinder or rectangular prism.

- Thread starter dww52
- Start date

- #1

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Ampere's Law:

∫B

I'm completely lost on where to even start this question. I guess that you may have to use a Gausian cylinder or rectangular prism.

- #2

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For Ampere's Law, instead of a surface you are looking for a closed loop to draw somewhere. In general, the geometry of the problem might suggest some simple shape -- often a circle or rectangle -- that will make things work out.

## Homework Equations

Ampere's Law:

∫B_{||}ds = μ_{0}*I

3. The Attempt at a Solution :

I'm completely lost on where to even start this question. I guess that you may have to use a Gausian cylinder or rectangular prism.

- #3

- 2

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Also how do I calculate the current, is it just equal to σ?

- #4

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Yes, use a rectangular path. But have a look again at Ampere's Law, you are looking for sections where B isSo if I use a rectangular wire around the plate, do I only include the top and bottom portions of the length, since these are the only sections where the B is perpendicular to the path?

"B||" means the component of B that is parallel to the the length element ds.dww52 said:Ampere's Law:

∫B|| ds = μ0*I

σ is the current in 1 meter of plate. So if the rectangle encloses 1 meter of the plate, yes. If the rectangle encloses some other length, then no.Also how do I calculate the current, is it just equal to σ?

Have you drawn the rectangular loop yet? The thin plate should appear as a line in the figure, with the current directed either out of or into the page.

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