Understanding the Effects of Electric and Magnetic Fields on Moving Charges

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SUMMARY

This discussion focuses on the application of electric and magnetic forces on moving charged particles, specifically through the lens of Ohm's law and the Lorentz force. The equations presented include Ohm's law for moving charges (j=σ(E+u×B)) and the force on a charge in an electromagnetic field (F=q(E+u×B)). The user seeks clarification on the transformation of these equations and the application of the Lorentz force in the context of motion equations for solid particles.

PREREQUISITES
  • Understanding of Ohm's Law in electromagnetism
  • Familiarity with the Lorentz force equation
  • Basic knowledge of electromagnetic fields
  • Concepts of charge motion and acceleration in physics
NEXT STEPS
  • Study the derivation of the Lorentz force from basic electromagnetic principles
  • Explore the implications of moving charges in electric and magnetic fields
  • Learn about the applications of the equations of motion in electromagnetism
  • Investigate advanced topics in electromagnetism, such as Maxwell's equations
USEFUL FOR

This discussion is beneficial for physics students, educators, and professionals in fields related to electromagnetism, particularly those interested in the behavior of charged particles in electric and magnetic fields.

adnan jahan
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Dear Fellows I have just came across with the basics of electromagnetism, and about the application of electric and magnetic force on charge particle,

Ohm's law for charge is
j=σE (1)
if the charge is moving with the speed "u"
then, j=σ(E+u\times B) (2)


force on a charge by electric field is
F=q.E (3)
if the charge is moving through the electromagnetic field,
F=q(E+u\timesB) (4)

I am supposed to use equation of motion for solid particles i.e.,
σ_ij,j+f_i=ρu'_i (u'=acceleration ' is for time derivative) (5)

my questions are
1- How equation (1) is converted to equation (2) if the particle started moving ??
2- similarly how equation (3) is converted to equation (4)
3- in final form eq (5) if found f_i = lorantz force but in (5) they use f_i =J\timesB, why they did not use equation (4) in this situation.


thank you for your cooperation
 
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