Magnitude of force on a Dust Particle

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SUMMARY

The discussion focuses on calculating the forces acting on a dust particle with a charge of -8.0×10-18 C moving through a magnetic field of 0.40 T and an electric field of 1.00×10-2 V/m. The magnetic force was calculated to be 9.6×10-21 N directed to the north using the right-hand rule. The electric force magnitude was determined to be 4.44×10-3 N, but the direction requires further analysis. The net force on the dust particle can be found by vector addition of the magnetic and electric forces.

PREREQUISITES
  • Understanding of Lorentz force equation: FB = qvBsinθ
  • Knowledge of electric field strength and force calculation: E = FE/q
  • Familiarity with vector addition of forces
  • Basic principles of electromagnetism
NEXT STEPS
  • Research the right-hand rule for determining magnetic force direction
  • Study vector addition techniques for combining forces
  • Learn about the implications of charge polarity on force direction
  • Explore the effects of varying magnetic field strengths on charged particles
USEFUL FOR

Students in physics, particularly those studying electromagnetism, as well as educators looking for practical examples of force calculations on charged particles.

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Homework Statement


A magnet produces a 0.40 T field between its poles, directed horizontally to the east. A dust particle with charge q = -8.0×10-18 C is moving vertically downwards with a speed of 0.30 cm/s in this field. Whilst it is in the magnetic field, the dust particle is also in an electric field of strength 1.00×10-2 V/m pointing to the north.

(a) What is the magnitude and direction of the magnetic force on the dust particle?
(b) What is the magnitude and direction of the electric force on the dust particle?
(c) What is the magnitude of the net force on the dust particle?

Homework Equations



FB= qvBsinθ
E= FE/q

The Attempt at a Solution


For part a) i got 9.6x10^-21N to the north according to the right hand rule
For part b) i got a magnitude of 4.44x10^-3N but I'm not sure how to find the direction of the force.
 
Physics news on Phys.org
What is the direction of the force due to the electric field? Draw a diagram of the two forces, then add them as vectors to find the resultant.
 

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