Question: (a) Find E in the plane z = 0 that is produced by a uniform line charge, L , extending along the z axis

(a) Find E in the plane z = 0 that is produced by a uniform line charge, ρ_L, 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 E_ρ in error if ρ = 0.5L?

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