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Consider a line of positive charge with line charge density λ as measured in a frame S at rest with respect to the charges, (a) Show that the electric field a distance r from this charged line has magnitude E = λ /27π∈0r and that there's no magnetic field (no relativity needed here). Now consider the situation in a frame S' moving at speed v parallel to the line of charge, (b) Show that the charge density measured in S′ is given by λ′ = γλ, where
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