Finding magnetic force on two different segments

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SUMMARY

The discussion focuses on calculating the magnetic force on two segments of a semicircular current loop in the presence of a magnetic field. The straight segment "a" has a length of 2R, while the semicircular segment "b" has a radius R, with a magnetic field strength B directed into the page and a counterclockwise current I. The participants confirm the use of the formula F = I(L × B) for calculating the force, while also discussing the magnitude of the force as |F| = ILBsin(θ) and an alternative formula F = (μ₀ I₁ I₂ L) / (2πr) for specific scenarios.

PREREQUISITES
  • Understanding of magnetic fields and forces, specifically in the context of current-carrying conductors.
  • Familiarity with the right-hand rule (RHR) for determining the direction of magnetic forces.
  • Knowledge of the Biot-Savart Law and its application in calculating magnetic forces.
  • Basic principles of electromagnetism, including the interaction between current and magnetic fields.
NEXT STEPS
  • Study the application of the right-hand rule (RHR) in electromagnetism.
  • Learn about the Biot-Savart Law and its implications for calculating magnetic fields around current-carrying wires.
  • Explore the derivation and applications of the formula F = (μ₀ I₁ I₂ L) / (2πr) in different circuit configurations.
  • Investigate the effects of varying magnetic field strengths on the forces experienced by current-carrying segments.
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone involved in circuit design or analysis who seeks to understand the forces acting on current-carrying conductors in magnetic fields.

ultrabionic_ang
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I've been having some trouble with this homework problem:

There is a semicircular current loop that lies in the xy plane. The straight segment "a" of of the loop has length 2R while the semicircular segment "b" has radius R. There is a magnetic field of strength B into the page. Current I is flowing counterclockwise. How would the magnetic force on segments a and b and net force be calcuated? Is it just simply using

F = I(L X B), L being the length of the wire
 
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ultrabionic_ang said:
I've been having some trouble with this homework problem:

There is a semicircular current loop that lies in the xy plane. The straight segment "a" of of the loop has length 2R while the semicircular segment "b" has radius R. There is a magnetic field of strength B into the page. Current I is flowing counterclockwise. How would the magnetic force on segments a and b and net force be calcuated? Is it just simply using

F = I(L X B), L being the length of the wire

Kid, we are talking about circuits... This is the part where pictures do mean a thousand words. Let's talk about RHR first and find the direction of forces...

The magnitude of F is such that: |F| = ILBsin@

I would somewhat agree using this formula... Looking at this... I see you've got currents and it makes me want to use this formula:

[tex]F = U_o I_1 I_2 L / 2 \Pi r[/tex]

I prefer this, and I think this is what we use.
 

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