Particle motion in a Magnetic Field 1

Click For Summary
SUMMARY

The discussion focuses on the motion of a charged particle in a magnetic field, specifically a particle with a mass of 6x10-8 kg and a magnetic field strength of 2.8T. The particle enters the magnetic field at coordinates (0.58 m, 0) and exits at (0, 0.58 m) after 884 μs. The x-component of the force on the particle at 294.7 μs is calculated using the equation F = qv * B, with the assumption that the angle between the velocity and magnetic field is 90 degrees, allowing for direct multiplication. The total force was determined to be 0.109 N.

PREREQUISITES
  • Understanding of Lorentz force law (F = qv * B)
  • Knowledge of circular motion and centripetal force (F = m * (v^2) / R)
  • Familiarity with the properties of magnetic fields
  • Basic trigonometry for analyzing forces
NEXT STEPS
  • Study the implications of the Lorentz force on charged particles in magnetic fields
  • Learn about the relationship between velocity, radius, and centripetal force in circular motion
  • Explore the effects of varying magnetic field strengths on particle trajectories
  • Investigate applications of magnetic fields in particle accelerators
USEFUL FOR

Students studying physics, particularly those focusing on electromagnetism and particle dynamics, as well as educators seeking to enhance their teaching of magnetic field interactions with charged particles.

Gee Wiz
Messages
137
Reaction score
0

Homework Statement


A charged particle of mass m = 6X10-8 kg, moving with constant velocity in the y-direction enters a region containing a constant magnetic field B = 2.8T aligned with the positive z-axis as shown. The particle enters the region at (x,y) = (0.58 m, 0) and leaves the region at (x,y) = 0, 0.58 m a time t = 884 μs after it entered the region.

What is Fx, the x-component of the force on the particle at a time t1 = 294.7 μs after it entered the region containing the magnetic field.

Homework Equations


F=qv*B (i realize it is the cross product, but since they are perpendicular i can just multiply them since the angle is 90)
M*a=F
a=(v^2)/R

The Attempt at a Solution



Well i think i can find the total Force by just doing m*(v^2)/R. I got that F=.109N
I assume this question has to with trig, but its not popping out to me how to attack it.
 
Last edited:
Physics news on Phys.org
I've also tried to take the velocity times the time to me give distance.
 
Nevermind, figured it out.
 

Similar threads

  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 5 ·
Replies
5
Views
1K
  • · Replies 7 ·
Replies
7
Views
8K
  • · Replies 14 ·
Replies
14
Views
5K
Replies
34
Views
2K
Replies
8
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 41 ·
2
Replies
41
Views
3K
Replies
11
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K