Electrostatics Part 2

A thin infinite sheet charge and an infinite line charge of respective charge densities +σ and +λ are placed parallel at 5m distance from each other. Points ' P ' and ' Q ' are at ‌

3

π

m and ‌

4

π

m perpendicular distances from line charge towards sheet charge, respectively. ' EP ' and ' EQ ' are the magnitudes of resultant electric field intensities at point 'P' and 'Q' respectively. If ‌

EP

EQ

=‌

4

a

for 2|σ|=|λ|, then the value of a is ________