Magnetic field in 3 dimensions

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SUMMARY

The discussion focuses on calculating the net magnetic force acting on a charged particle in a three-dimensional magnetic field. The magnetic field components are 0.0431 T along the +x axis and 0.0686 T along the -y axis. The particle has a charge of +1.70 × 10-5 C and moves at a speed of 4.24 × 103 m/s along the +z axis. The net magnetic force can be determined using the formula F = qvBsinθ, and the net magnetic field can be calculated using the Pythagorean theorem to combine the two components.

PREREQUISITES
  • Understanding of magnetic fields and their components
  • Familiarity with the formula F = qvBsinθ
  • Knowledge of vector addition in physics
  • Basic trigonometry for angle calculations
NEXT STEPS
  • Calculate the net magnetic field Bnet using the Pythagorean theorem
  • Determine the magnitude of the net magnetic force F using the given formula
  • Find the angle θ that the net force makes with respect to the +x axis
  • Explore the effects of varying charge and velocity on magnetic force
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone interested in understanding the dynamics of charged particles in magnetic fields.

Alice7979
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Homework Statement


One component of a magnetic field has a magnitude of 0.0431 T and points along the +x axis, while the other component has a magnitude of 0.0686 T and points along the -y axis. A particle carrying a charge of +1.70 × 10-5 C is moving along the +z axis at a speed of 4.24 × 103 m/s. (a) Find the magnitude of the net magnetic force that acts on the particle. (b)Determine the angle that the net force makes with respect to the +x axis.

Homework Equations


Screen Shot 2018-07-30 at 6.26.18 PM.png

F= qvBsinθ

The Attempt at a Solution


I don't know how to get Bnet, I was thinking it would be by using the pythagorean theorem.
 

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Alice7979 said:

Homework Statement


One component of a magnetic field has a magnitude of 0.0431 T and points along the +x axis, while the other component has a magnitude of 0.0686 T and points along the -y axis. A particle carrying a charge of +1.70 × 10-5 C is moving along the +z axis at a speed of 4.24 × 103 m/s. (a) Find the magnitude of the net magnetic force that acts on the particle. (b)Determine the angle that the net force makes with respect to the +x axis.

Homework Equations


View attachment 228631
F= qvBsinθ

The Attempt at a Solution


I don't know how to get Bnet, I was thinking it would be by using the pythagorean theorem.
That should work.
 
Thank you
 

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