Particle in a magnetic field - x,y,z components

In summary, the conversation discusses a situation where a particle with charge 2.8 C is moving through a uniform magnetic field. The velocity and magnetic force on the particle are given, and the x and y components of the magnetic field are equal. The main question is to find the x, y, and z components of the magnetic field. The relevant equation is F = q(v x B), and the attempt at a solution involves setting the components of F and q(v x B) equal to each other.
  • #1
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Homework Statement



A particle with charge 2.8 C moves through a uniform magnetic field. At one instant the velocity of the particle is (1.4 i + 1.2 j + 0.48 k) m/s and the magnetic force on the particle is (11.9 i - 14.1 j + 1.57 k) N. The x and y components of the magnetic field are equal. What are (a) the x-component, (b) the y-component, and (c) the z-component of the magnetic field?


Homework Equations



F=q(v X B)

The Attempt at a Solution



I have tried this twice and cannot figure out this solutions. Can someone please point be in the right direction?
 
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  • #2
If the vector B is B=Bxi+Byj+Bzk

What is q(vxB) equal to? (Write this in the vector form)

Since they gave you what F is, and you just calculated q(vxB) (which is F), equate components.
 

FAQ: Particle in a magnetic field - x,y,z components

What is a particle in a magnetic field?

A particle in a magnetic field is a concept in physics where a charged particle, such as an electron, moves through a region where there is a magnetic field present. The magnetic field exerts a force on the particle, causing it to move in a curved path.

What are the x, y, and z components of a particle in a magnetic field?

The x, y, and z components of a particle in a magnetic field refer to the different directions in which the particle can move due to the magnetic field. The x component is the horizontal direction, the y component is the vertical direction, and the z component is the direction perpendicular to both the x and y directions.

How does the strength of the magnetic field affect the motion of the particle?

The strength of the magnetic field has a direct impact on the motion of the particle. A stronger magnetic field will exert a greater force on the particle and cause it to move in a more curved path. The weaker the magnetic field, the less pronounced the effect on the particle's motion will be.

What is the relationship between the charge of the particle and its motion in a magnetic field?

The charge of the particle plays a critical role in its motion in a magnetic field. The direction in which the particle will move is dependent on the direction of the magnetic field and the charge of the particle. A positively charged particle will move in a different direction than a negatively charged particle in the same magnetic field.

Can a particle in a magnetic field change direction?

Yes, a particle in a magnetic field can change direction. This is due to the force exerted by the magnetic field on the charged particle, causing it to move in a curved path. The direction of the particle's motion can also be changed by altering the strength or direction of the magnetic field itself.

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