relativity_12 - PHY2061 R. D. Field Moving Charge Density...

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PHY2061 R. D. Field Department of Physics relativity_12.doc University of Florida Moving Charge Density Linear Charge Density: Let λ 0 be the linear charge density in the frame at rest with respect to the charges ( O'-frame ). Then, λ 0 = charge/length = Q'/L 0 . Let λ be the charge density observed in the O-frame . Then, λ = Q/L, but Q = Q' and L = L 0 / γ . Thus, 0 0 γλ γ λ = = = L Q L Q and 0 λ= where 2 1 / 1 / β = = c V . Surface Charge Density: Let σ 0 be the surface charge density in the frame at rest with respect to the charges (
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