A thin infinite sheet charge and an infinite line charge of respective charge densities +σ and +λ are placed parallel at 5 ~m 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. ' E P ' and ' E Q ' are the magnitudes of resultant electric field intensities at point 'P' and 'Q', respectively. If (E p)/(E₀)=4/a for 2|σ|=|λ|, then the value of a is _ _ _ _ _ _.

Electrostatics: JEE Main 2023 Physics question

JEE Main 2023 · 13 Apr, Morning shift · Q61

JEE Main 202313 Apr, Morning shiftPhysicsHardElectrostatics167× since 2002

A thin infinite sheet charge and an infinite line charge of respective charge densities

+\sigma

and

+\lambda

are placed parallel at

5 \mathrm{~m}

distance from each other. Points 'P' and 'Q' are at

\frac{3}{\pi}

m and

\frac{4}{\pi}

m perpendicular distances from line charge towards sheet charge, respectively. '

\mathrm{E}_{\mathrm{P}}

' and '

\mathrm{E}_{\mathrm{Q}}

' are the magnitudes of resultant electric field intensities at point 'P' and 'Q', respectively. If

\frac{E_{p}}{E_{0}}=\frac{4}{a}

for

2|\sigma|=|\lambda|

, then the value of

a

is ___________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2023 Electrostatics Question with Answer (13 Apr Morning shift, Q61) | JEE Arc