Two thin, nonconducting curved rods are bent into circular arcs, each having the same radius of curvature \(R\) and carrying the same total positive charge \(Q\) distributed uniformly along its length. Arc 1 subtends an angle of \(90^\circ\) (\(\pi/2\text{ rad}\)) at its center of curvature, while Arc 2 subtends an angle of \(60^\circ\) (\(\pi/3\text{ rad}\)) at its center of curvature. What is the ratio of the magnitude of the electric field at the center of curvature due to Arc 1 to that due to Arc 2, \(E_1 / E_2\)?