An infinite plane sheet of charge having uniform surface charge density +σₛ C/m² is placed on x-y plane. Another infinitely long line charge having uniform linear charge density +λₑ C/m is placed at z = 4m plane and parallel to y-axis. If the magnitude values |σₛ| = 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 πn : 1. The value of n i s ________.

Physics · Electrostatics · electric flux and gauss law

JEE Mains 2024 04 Apr Morning Shift

An infinite plane sheet of charge having uniform surface charge density +σₛ C/m² is placed on x-y plane. Another infinitely long line charge having uniform linear charge density +λₑ C/m is placed at z = 4m plane and parallel to y-axis. If the magnitude values |σₛ| = 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 πn : 1. The value of n is ________.