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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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