Calculating Magnetic Force on a Wire in a Uniform Magnetic Field

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SUMMARY

The magnetic force on a wire 0.25 m long carrying a current of 4.0 A in a uniform magnetic field of 0.50 T at an angle of 45 degrees can be calculated using the formula F = I * L * B * sin(θ). In this case, θ is the angle between the wire and the magnetic field. The confusion arises from the interpretation of the angle; it is essential to clarify whether the angle is between the wire and the magnetic field or the perpendicular component of the field. The correct approach involves using B * cos(45) to find the effective magnetic field component acting on the wire.

PREREQUISITES
  • Understanding of magnetic force calculations
  • Familiarity with the formula F = I * L * B * sin(θ)
  • Knowledge of vector components in physics
  • Basic concepts of electromagnetism
NEXT STEPS
  • Study the derivation of the magnetic force formula F = I * L * B * sin(θ)
  • Learn about vector components and their applications in physics
  • Explore the effects of angle on magnetic force calculations
  • Investigate real-world applications of magnetic forces in electrical engineering
USEFUL FOR

Students studying physics, particularly those focusing on electromagnetism, as well as educators seeking to clarify concepts related to magnetic forces on current-carrying wires.

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Homework Statement



What is the magnetic force on a wire 0.25 m long, carrying a current of 4.0 A, when placed in a uniform magnetic field of 0.50 T, at an angle of 45 to the wire?

Homework Equations





The Attempt at a Solution


this question doesn't make sense to me
it said"when placed", so the wire should be placed in the uniform magnetic field, but at an angle of 45 to the wire,
if it is to the magnetic field, it will make more sense
i am confused...
 
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If the wire is placed so the magnetic field is at 45 degrees to the wire, then the wire is 45 degrees to the magnetic field. Anyway, just B*cos(45) to get the component of the field that is perpendicular to the current.
 
ty...
 

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