How Do Relevant Equations Help Solve Problems?

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Relevant equations play a crucial role in problem-solving by providing a framework for understanding the relationships between different variables. They guide the approach to a problem, allowing for systematic analysis and application of mathematical principles. Demonstrating reasonable effort before seeking help is essential, as it shows engagement with the material and helps clarify the specific challenges faced. By articulating one's thought process and the equations considered, individuals can receive more targeted assistance. Ultimately, utilizing relevant equations effectively enhances problem-solving capabilities.
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New poster has been reminded to always show their work when starting schoolwork threads
Homework Statement
An interesting problem using capacitors and moving charges in a magnetic field
Relevant Equations
r=mv/qb
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According to PF rules, you need to show reasonable effort before receiving help. Tell us what you think, how you would approach the problem and what is the role of the "relevant equations" in the solution.

Nevertheless, the answer to the question posed in the title is "Yes, we can solve this problem."
 
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Thread 'Correct statement about size of wire to produce larger extension'
The answer is (B) but I don't really understand why. Based on formula of Young Modulus: $$x=\frac{FL}{AE}$$ The second wire made of the same material so it means they have same Young Modulus. Larger extension means larger value of ##x## so to get larger value of ##x## we can increase ##F## and ##L## and decrease ##A## I am not sure whether there is change in ##F## for first and second wire so I will just assume ##F## does not change. It leaves (B) and (C) as possible options so why is (C)...

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