Magnetic Force of a Right Triangle influenced by a Line

AI Thread Summary
To calculate the magnetic force on a right triangle influenced by a line, the magnetic field must be considered as non-constant, requiring integration. The equation B = u0*I/2piR is used for the magnetic field, while F = iLB applies to the bottom side of the triangle. For the other two sides, the magnetic field can be integrated, but the relationship between the variables R and L needs clarification. Using the midpoint of the sides to represent the entire line is only valid if the magnetic field varies linearly with distance. Setting up an integral is essential for accurate calculations.
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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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