A \(20-\mathrm{cm}\)-long rod, with uniform linear charge density \(100 \mathrm{nC} / \mathrm{cm}\), is set up symmetrically on the \(x\) axis. What are the magnitude and direction of the electric field at a point located at a distance of \(5 \mathrm{~cm}\) on the perpendicular bisector of the rod in the \(x y\)-plane?