An infinite plane sheet of charge having uniform surface charge density +σ_s C / m^2 is placed on x-y plane. Another infinitely long line charge…

An infinite plane sheet of charge having uniform surface charge density $\displaystyle +\sigma_{\mathrm{s}} \mathrm{C} / \mathrm{m}^2$ is placed on $\displaystyle x-y$ plane. Another infinitely long line charge having uniform linear charge density $\displaystyle +\lambda_{\mathrm{e}} \mathrm{C} / \mathrm{m}$ is placed at $\displaystyle \mathrm{z}=4 \mathrm{~m}$ plane and parallel to $\displaystyle y$-axis. If the magnitude values $\displaystyle \left|\sigma_{\mathrm{s}}\right|=2\left|\lambda_{\mathrm{e}}\right|$ then at point $\displaystyle (0,0,2)$, the ratio of magnitudes of electric field values due to sheet charge to that of line charge is $\displaystyle \pi \sqrt{\mathrm{n}}: 1$. The value of n is $\displaystyle \_\_\_\_$.