Magnetic Force of a Right Triangle influenced by a Line

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SUMMARY

The discussion focuses on calculating the magnetic force of a right triangle influenced by a line when the magnetic field is not constant, specifically using the equation B = μ0 * I / (2πR). Participants explore the application of the force equation F = iLB for the bottom side of the triangle and seek methods to compute the magnetic fields for the other two sides. Integral calculus is suggested as a necessary tool to connect the variables R and L, with the possibility of using the midpoint of the sides to simplify calculations, contingent on the assumption of a linear variation of the magnetic field.

PREREQUISITES
  • Understanding of magnetic fields and forces, specifically B = μ0 * I / (2πR)
  • Knowledge of integral calculus for computing magnetic fields
  • Familiarity with the force equation F = iLB
  • Concept of linear variation in magnetic fields
NEXT STEPS
  • Research integral calculus applications in electromagnetism
  • Study the derivation and implications of B = μ0 * I / (2πR)
  • Explore methods for calculating magnetic fields in non-uniform scenarios
  • Learn about the assumptions behind using midpoint approximations in physics
USEFUL FOR

Students and professionals in physics, particularly those focusing on electromagnetism, as well as educators looking for practical applications of magnetic force calculations.

g85108
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Homework Statement

http://www.sumoware.com/images/temp/xzlknterambqmokp.png

How to calculate the Magnetic Force of THE "Right Triangle" influenced by a Line
when the magnetic field isn't constant B=u0*I/2piR?

Homework Equations


B=u0*I/2piR
F=iLB

The Attempt at a Solution


I can use F=iLB to calculate the bottom line.
But how to calculate the two other sides magnetic field.
How to integral the magnetic field?
Is it possible to use the middle point of the two sides to represent the whole line?
 
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F=∫IXB dL

Consider you can compute the integral once you figure out how to connect the two variables R and L
 
g85108 said:
Is it possible to use the middle point of the two sides to represent the whole line?

That would work only if the magnetic field varied linearly with distance from the wire at the bottom, e.g. B = kr. I think you need to set up an integral, as throneoo noted.
 

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