PHY2061 R. D. Field Department of Physics relativity_12.doc University of Florida Moving Charge DensityLinear Charge Density: Let λ0be the linear charge density in the frame at rest with respect to the charges (O'-frame). Then, λ0= charge/length = Q'/L0. Let λbe the charge density observed in the O-frame. Then, λ= Q/L, but Q = Q' and L = L0/γ. Thus, 00γλγλ=′==LQLQand 0=where 21/1/β−==cV. Surface Charge Density: Let σ0be the surface charge density in the frame at rest with respect to the charges (O'-frame
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