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

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SUMMARY

A particle with a charge of 2.8 C is moving through a uniform magnetic field, with a velocity represented by the vector (1.4 i + 1.2 j + 0.48 k) m/s. The magnetic force acting on the particle is (11.9 i - 14.1 j + 1.57 k) N. Given that the x and y components of the magnetic field are equal, the problem requires calculating the x, y, and z components of the magnetic field using the equation F=q(v X B). The solution involves equating the components of the magnetic force to the calculated magnetic force from the cross product of the velocity and magnetic field vectors.

PREREQUISITES
  • Understanding of vector cross products
  • Familiarity with the Lorentz force equation F=q(v X B)
  • Basic knowledge of vector components in three-dimensional space
  • Ability to solve linear equations
NEXT STEPS
  • Study vector cross product calculations in detail
  • Learn about the properties of magnetic fields and forces on charged particles
  • Explore examples of solving for magnetic field components using the Lorentz force
  • Practice problems involving charged particles in uniform magnetic fields
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Students studying electromagnetism, physics educators, and anyone interested in understanding the behavior of charged particles in magnetic fields.

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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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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.
 

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