Infinitely charged wire and moving charge

AI Thread Summary
An infinite line charge with charge density λ generates an electric field in the frame where it is stationary. When a point particle with charge q moves parallel to this line charge, it experiences a force due to the electric field. In the particle's frame, the moving line charge produces both an electric field and a magnetic field. The distinction between stationary wire with moving charge and moving wire with stationary charge is crucial, as the former generates only an electric field while the latter generates a magnetic field. Understanding these concepts is essential for solving problems related to electromagnetic fields and forces.
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Homework Statement


There's a uniform infinite line charge with the charge density λ. A point particle with charge q moves with a velocity v parellel to infinite line. What is force exerted on point particle? What is magnetic field seen in ths moving frame(particle frame)?

Homework Equations


Basic E&M, Maxwell's equations.

The Attempt at a Solution


1) What is difference between "stationary wire & moving charge" and "moving wire & stationary charge" ?
First one will generate electric field and second one will generate magnetic field(current). Am I right?
 
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In the frame in which the wire is stationary, the wire will produce only an E field.

In the particle frame, the moving wire will produce both an E field and a B field.
 
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