please explain the given solution why is there no flux in z

Last updated: 6/12/2023

please explain the given solution why is there no flux in z direction Also how did they calculate flux through ABCD Consider a rectangular prism with cross section of a right angled triangle as shown Co ordinates of vertices are A B C D and E are 2 0 0 2 2 0 0 2 2 00 2 and 02 0 respectively There exists an electric field xi Zvi k N C everywhere If charge enclosed by the prism is N then find the value of N Solution Answer 02 E B ol There will be no flux due to electric field in z direction Due to electric field in x direction ODCE 0 ABCD 1 xx 2x dx 2 Due to electric field in y dir OAD 0 OBCE 2x 2x1 x 2x 2 2