Infinitely charged wire and moving charge

In summary, a point particle with charge q moving parallel to an infinite line charge with charge density λ will experience a force and see a magnetic field in its own frame of reference. In the frame of the stationary wire, only an electric field will be present, while in the particle frame, both an electric and magnetic field will be present. These observations can be explained using basic E&M and Maxwell's equations.
  • #1
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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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  • #2
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.
 

Related to Infinitely charged wire and moving charge

1. What is an infinitely charged wire?

An infinitely charged wire is a theoretical concept in physics where a wire is assumed to have an infinite length and a constant charge density throughout its entire length. This is an idealized model used in calculations and theoretical analyses.

2. How does an infinitely charged wire affect a moving charge?

An infinitely charged wire produces an electric field that exerts a force on any charged particle that moves within its vicinity. The direction and magnitude of the force depend on the charge of the particle and its velocity relative to the wire.

3. Can an infinitely charged wire exist in the real world?

No, an infinitely charged wire is a theoretical concept and cannot exist in the real world. In reality, all wires have a finite length and a finite amount of charge, and their electric fields decrease with distance from the wire.

4. What is the equation for the electric field of an infinitely charged wire?

The electric field produced by an infinitely charged wire can be calculated using the equation E = λ/2πεr, where λ is the charge density of the wire, ε is the permittivity of the surrounding medium, and r is the distance from the wire.

5. How does the electric field of an infinitely charged wire change with distance?

The electric field of an infinitely charged wire decreases as the distance from the wire increases. This follows an inverse relationship, where the field strength decreases exponentially as the distance increases.

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