In which situation is the magnetic force nonzero?

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SUMMARY

The magnetic force on a particle is nonzero when the charge is positive and the particle is moving perpendicular to the magnetic field, as indicated by option F. The equation governing this relationship is F = qv x B, where F represents the magnetic force, q is the charge, v is the velocity, and B is the magnetic field. Other options are ruled out because they involve zero charge or parallel/anti-parallel motion to the magnetic field, resulting in zero force.

PREREQUISITES
  • Understanding of the Lorentz force equation (F = qv x B)
  • Knowledge of magnetic fields and their properties
  • Familiarity with vector cross products
  • Basic concepts of electric charge (positive and negative)
NEXT STEPS
  • Study the implications of the Lorentz force in different scenarios
  • Explore the behavior of charged particles in uniform magnetic fields
  • Learn about the right-hand rule for determining force direction
  • Investigate applications of magnetic forces in technology, such as in particle accelerators
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Students in physics, educators teaching electromagnetism, and anyone interested in the principles of magnetic forces and their applications in real-world scenarios.

McAfee
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Homework Statement


A particle moves through a magnetic field. In which situation is the magnetic force nonzero?

A. The charge is zero and the particle is moving perpendicular to the magnetic field.
B. The charge is negative and the particle is moving in the direction of the magnetic field.
C. The charge is zero and the particle is moving in the direction of the magnetic field.
D. The charge is zero and the particle is moving in the direction opposite that of the magnetic field.
E. The charge is positive and the particle is moving in the direction opposite that of the magnetic field.
F. The charge is positive and the particle is moving perpendicular to the magnetic field.

Homework Equations


F= qv x B


The Attempt at a Solution


I have ruled out A, C, and D. I think the answer is F because it will be equal to 1 then.
 
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Hi McAfee! :smile:
McAfee said:
A particle moves through a magnetic field. In which situation is the magnetic force nonzero?

A. The charge is zero and the particle is moving perpendicular to the magnetic field.
B. The charge is negative and the particle is moving in the direction of the magnetic field.
C. The charge is zero and the particle is moving in the direction of the magnetic field.
D. The charge is zero and the particle is moving in the direction opposite that of the magnetic field.
E. The charge is positive and the particle is moving in the direction opposite that of the magnetic field.
F. The charge is positive and the particle is moving perpendicular to the magnetic field.

I have ruled out A, C, and D. I think the answer is F because it will be equal to 1 then.

Yes, that's correct :smile:

the others are 0 either because v is 0, or because v is parallel or anti-parallel to B (sinθ = 0)
 
Thanks tiny-tim for confirming and congrats on the 2011 PF Award. People like you are really helpful. I wish you best of luck in your future.
 

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