(a) Find E in the plane z = 0 that is produced by a uniform line charge, ρL, extending along the z axis over the range −L<z<L in a cylindrical coordinate system. (b) If the finite line charge is approximated by an infinite line charge (L → ∞), by what percentage is Eρ in error if ρ = 0.5L? (c) Repeat (b) with ρ = 0.1L.
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