How Does a Magnetic Field Affect a Wire Carrying Current?

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SUMMARY

The discussion focuses on the effects of a magnetic field on a current-carrying wire, specifically with a magnetic field strength of 1.4 T and a wire carrying a current of 2.0 A. The magnetic force on the wire is calculated using the formula F_m = ILB, resulting in a force of 11 N directed downwards. Key insights include that rotating the wire decreases the force, doubling the current doubles the force, and reversing the magnetic field reverses the direction of the force.

PREREQUISITES
  • Understanding of the Lorentz force law
  • Familiarity with the formula F_m = ILB
  • Basic knowledge of magnetic fields and current
  • Concept of angle effects on magnetic force
NEXT STEPS
  • Research the implications of the Lorentz force in electromagnetic applications
  • Learn about the effects of angle changes on magnetic force calculations
  • Explore the relationship between current and magnetic field strength in electromagnetism
  • Investigate practical applications of magnetic forces in engineering
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Students studying physics, electrical engineers, and anyone interested in the principles of electromagnetism and its applications in technology.

Physics345
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Homework Statement


A magnetic field of 1.4 T [N] is 4.0 m wide. A very long wire crosses the field.

a) If the current in the wire is 2.0 A [W], find the magnetic force on the wire.

b) What will happen to the force on the wire if
i) The wire is rotated slightly in the horizontal plane?
ii) The current is doubled?
iii) The magnetic field is reversed?

Homework Equations



F_m=ILB

The Attempt at a Solution


a)

a) F_m=ILB
F_m=(-2.0)(4.0)(1.4) F_m=-11.2N=11N
F_m=11N [down]
Therefore the magnetic force on the wire is 11N [down]

b)

i) Since the wire is no longer in a 90 degree angle the magnetic force will decrease and the angle will change

ii) The magnetic force will double and the current will move twice as fast.

iii) The direction of the force will reverse.
 
Last edited:
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Hi there,
I think you are OK with a and b, but not c. The magnetic field is not what is producing the current. The current is produced by a battery, or something, outside of the magnetic field.

Thanks,
Gene
 
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Gene Naden said:
Hi there,
I think you are OK with a and b, but not c. The magnetic field is not what is producing the current. The current is produced by a battery, or something, outside of the magnetic field.

Thanks,
Gene

What are you referring to when you say c?
If you are referring to 2. iii), then good call I just noticed that is wrong it should be: The direction of the magnetic force will reverse
 

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