An infinite plane sheet of charge having uniform surface charge density +σ sC∕m2 is placed on x−y plane. Another infinitely long line charge having uniform linear charge density +λeC∕m is placed at z=4m plane and parallel to y-axis. If the magnitude values |σ s|=2|λe| then at point (0,0,2), the ratio of magnitudes of electric field values due to sheet charge to that of line charge is π√n:1. The value of n is ________