Finding the radius of a Proton's arc inside a square.

AI Thread Summary
The discussion centers on finding the radius of a proton's arc within a square for a homework problem. Initially, the poster struggled with arc length equations and integration, leading to nonsensical results. However, they later realized that the radius could be determined simply by inspecting the image of the problem. The solution reveals that the radius of the arc is equal to the length of one side of the square. This insight simplifies the calculations needed for determining the magnetic field required to produce the proton's curved path.
RelativeJosef
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Homework Statement


This is for a practice question on an exam:

I am able to finish the problem, if I could figure out how to find the radius of this arc the proton makes.

Homework Equations


I have nothing.

The Attempt at a Solution


I have tried arc length equations and just integrating the change in dx and dy, but all my answers have been nonsensical.

I have a feeling this is very simple and I wasn't paying attention enough in Geometry back in grade school.

Any help would be greatly appreciated.
 

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RelativeJosef said:

Homework Statement


This is for a practice question on an exam:

I am able to finish the problem, if I could figure out how to find the radius of this arc the proton makes.

Homework Equations


I have nothing.

The Attempt at a Solution


I have tried arc length equations and just integrating the change in dx and dy, but all my answers have been nonsensical.

I have a feeling this is very simple and I wasn't paying attention enough in Geometry back in grade school.

Any help would be greatly appreciated.
Please write out the complete problem statement.
Surely the radius of the arc is trivial by inspection of the image?
 
gneill said:
Please write out the complete problem statement.
Surely the radius of the arc is trivial by inspection of the image?
I have since deduced the radius, and indeed it was trivial.

If you are interested, in calculating the required magnetic field of this square magnet to produce such a curve in a protons path through the magnetic field, the radius is simply the side length of one side of the square.
 
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