Understanding the Effects of Electric and Magnetic Fields on Moving Charges

AI Thread Summary
The discussion focuses on the application of electric and magnetic forces on charged particles, highlighting key equations in electromagnetism. It examines the transition from Ohm's law for stationary charges to moving charges, specifically how equations (1) and (2) relate when a charge moves at speed "u." Additionally, it explores the conversion of the force equations from stationary to moving charges, comparing equations (3) and (4). The final query addresses the use of Lorentz force in equation (5) and why it differs from the expected application of equation (4) in the context of particle motion. The conversation emphasizes the complexities of electromagnetism and the need for clarity in these foundational equations.
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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Thank You very much for your reply but the information given by the link you have given is not good enough...
 
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