Determining the magnitude of the magnetic field acting on a particle

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SUMMARY

The discussion focuses on calculating the magnetic force acting on a positively charged particle with a mass of 7.2 x 10-8 kg, traveling at a speed of 85 m/s in a 0.31 T magnetic field. The particle moves perpendicular to the magnetic field and completes one-quarter of a circular path in 2.2 x 10-3 seconds. The calculated magnetic force is 4.37 x 10-3 N, and the charge of the particle is determined to be 1.66 x 10-4 C.

PREREQUISITES
  • Understanding of magnetic force equations, specifically F = qvB
  • Knowledge of circular motion and radius calculation using r = mv/qB
  • Familiarity with basic physics concepts such as mass, velocity, and charge
  • Ability to perform calculations with scientific notation
NEXT STEPS
  • Study the Lorentz force law and its applications in electromagnetism
  • Learn about the motion of charged particles in magnetic fields
  • Explore advanced topics in circular motion and centripetal force
  • Investigate the relationship between charge, magnetic field strength, and force
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the dynamics of charged particles in magnetic fields.

expatiated
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1. *Is my solution correct?
Homework Statement

A positively charged particle of mass 7.2 X 10^-8 kg is traveling due east with a speed of 85 m/s and enters a 0.31T uniform magnetic field. The particle moves through one-quarter of a circle in 2.2 X 10^3 seconds, at which time it leaves the field heading of south. All during the motion the particle moves perpendicular to the magnetic field. a) What is the magnitude of the magnetic force acting of the particle, b) Determine the charge of the particle.


Homework Equations


speed = distance/time
r = mv/qB


The Attempt at a Solution


a) velocity = distance/time
= ∏r/2t
therefore r = v2t/∏
=0.119m

F= mv^2/r
= 4.37 X 10^-3

b) F = qvB
q = F/vB
= 1.66 X 10^-4C
 
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expatiated said:
1. *Is my solution correct?
Homework Statement

A positively charged particle of mass 7.2 X 10^-8 kg is traveling due east with a speed of 85 m/s and enters a 0.31T uniform magnetic field. The particle moves through one-quarter of a circle in 2.2 X 10^3 seconds, at which time it leaves the field heading of south. All during the motion the particle moves perpendicular to the magnetic field. a) What is the magnitude of the magnetic force acting of the particle, b) Determine the charge of the particle.

do you mean 2.2*10-3seconds?
 
yes time = 2.2*10^-3 seconds
 

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