Q25. An infinite plane sheet of charge having uniform surface charge density $+ \sigma _ { s } \mathrm { C } / \mathrm { m } ^ { 2 }$ is placed on $x - y$ plane. Another infinitely long line charge having uniform linear charge density $+ \lambda _ { e } \mathrm { C } / \mathrm { m }$ is placed at $z = 4 \mathrm {~m}$ plane and parallel to $y$-axis. If the magnitude values $\left| \sigma _ { \mathrm { s } } \right| = 2 \left| \lambda _ { \mathrm { e } } \right|$ then at point ( $0,0,2$ ), the ratio of magnitudes of electric field values due to sheet charge to that of line charge is $\pi \sqrt { n } : 1$. The value of $n$ is $\_\_\_\_$ .
Q25. An infinite plane sheet of charge having uniform surface charge density $+ \sigma _ { s } \mathrm { C } / \mathrm { m } ^ { 2 }$ is placed on $x - y$ plane. Another infinitely long line charge having uniform linear charge density $+ \lambda _ { e } \mathrm { C } / \mathrm { m }$ is placed at $z = 4 \mathrm {~m}$ plane and parallel to $y$-axis. If the magnitude values $\left| \sigma _ { \mathrm { s } } \right| = 2 \left| \lambda _ { \mathrm { e } } \right|$ then at point ( $0,0,2$ ), the ratio of magnitudes of electric field values due to sheet charge to that of line charge is $\pi \sqrt { n } : 1$. The value of $n$ is $\_\_\_\_$ .