Apply coulombs law to obtain expression for electric field

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A line of charge with uniform density ρlextends between z=-L/2 and z=L/2 along the z-axis. Apply Coulomb'slaw to obtain an expression for the electric field at any pointP(r,φ,0) on the x-y plane. Show that your result reduces tothe expression given by E = D / ε0 = rDr / ε0 = r ρl /2πε0r as the length L is extended toinfinity. (r is properly defined as the radial distance vector fromthe line charge to the observation point i.e. r is perpendicular toline of charge)

Reference no: EM13290828

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