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Finch91

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## Homework Statement

Consider an infinite line of charge with density λ per unit length lying along the z-axis. If the line of charge is stationary in frame S, use the Lorentz transform to find the current and charge densities in a frame S' which is moving with velocity v parallel to the z-axis of S.

## Homework Equations

4 current defined as

[tex] j_\mu = (J_1,J_2,J_3,c\rho) [/tex]

## The Attempt at a Solution

In S I find

[tex] j_\mu = (0,0,0,c\lambda) [/tex]

then applying the Lorentz transform to find

[tex] j'_\mu = (-\gamma\beta c \lambda,0,0,\gamma c \lambda) [/tex]

in S'

Is this correct?

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