A thin infinite sheet charge and an infinite line charge of respective charge densities +σ and +λ are placed parallel at 8 m distance from each other. Points 'P' and 'Q' are at 3πm and 4πm 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 2σ=λ , the ratio of EPEQ is ___________

EP=2Kλr−σ2ε0 EP=σ2ε0−2σ6ε0=σ6ε0Similarly, EQ=σ2ε0−2σ2πε04π=σ4ε0

EP=2Kλr−σ2ε0 EP=σ2ε0−2σ6ε0=σ6ε0Similarly, EQ=σ2ε0−2σ2πε04π=σ4ε0

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A thin infinite sheet charge and an infinite line charge of respective charge densities $+ σ$ and $+ λ$ are placed parallel at 8 m distance from each other. Points 'P' and 'Q' are at $\frac{3}{π} m$ and $\frac{4}{π} m$ 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 $2 |σ| = |λ|$ , the ratio of $\frac{E_{P}}{E_{Q}}$ is ___________

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$E_{P} = \frac{2 K λ}{r} - \frac{σ}{2 ε_{0}} E_{P} = \frac{σ}{2 ε_{0}} - \frac{2 σ}{6 ε_{0}} = \frac{σ}{6 ε_{0}}$

Similarly, $E_{Q} = \frac{σ}{2 ε_{0}} - \frac{2 σ}{2 π ε_{0} (\frac{4}{π})} = \frac{σ}{4 ε_{0}}$

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