In which situation is the magnetic force nonzero?

In summary, the magnetic force will be nonzero in situation F, where the charge is positive and the particle is moving perpendicular to the magnetic field. This is because according to the equation F = qv x B, when the sine of the angle between the velocity and magnetic field is equal to 1, the force will also be equal to 1. The other situations (A, C, and D) result in a magnetic force of 0, either because the charge or velocity is 0, or because the velocity is parallel or anti-parallel to the magnetic field.
  • #1
McAfee
96
1

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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  • #2
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)
 
  • #3
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.
 

1. What is the definition of a nonzero magnetic force?

A nonzero magnetic force refers to a situation where a magnetic field exerts a force on a charged particle or a current-carrying wire. It is a force that has a measurable magnitude and direction, as opposed to a zero magnetic force where no force is exerted.

2. When does the magnetic force become nonzero?

The magnetic force becomes nonzero when a charged particle or a current-carrying wire is present in a magnetic field. This force is dependent on the strength of the magnetic field, the magnitude of the charge or current, and the orientation of the particle or wire relative to the field.

3. What are some real-life situations where the magnetic force is nonzero?

The magnetic force is often observed in everyday situations, such as when a compass needle points towards the Earth's magnetic north pole, when a speaker uses electromagnets to produce sound, or when a refrigerator's door is held in place by a magnetic seal. In scientific research, the magnetic force is also used in particle accelerators and MRI machines.

4. Can the magnetic force be both attractive and repulsive?

Yes, the magnetic force can be both attractive and repulsive. This is because the direction of the force depends on the orientation of the magnetic field and the charge or current. If the field and the charge or current are parallel, the force is attractive, but if they are antiparallel, the force becomes repulsive.

5. How does the strength of the magnetic force change in relation to the distance between the particle or wire and the magnetic field?

The strength of the magnetic force follows an inverse square law, meaning that it decreases as the distance between the particle or wire and the magnetic field increases. This is similar to the relationship between the force of gravity and the distance between two objects. As the distance between the objects increases, the force decreases.

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