Q Electric field in fig is directed along + X direction and given by Ex = 5 A x+ - Physics - Electric Charges And Fields

Question

Q Electric field in fig is directed along + X direction and given
by Ex = 5 A x+ 2 B where E is in NC-1 and x
in meter , A and B are constants with dimensions taking A = 10 N
C-1 m-1 and B = 5 NC-1 , calculate
(i) the electric flux through the cube (ii) net charge enclosed
within the cube

Shobhit Mittal · Accepted Answer

Dear Student,Ex=50x+10   N/Cflux will be through from the surface M and N only 
rest of the surface give zero flux
flux through Mϕ=-50*0+10 0 12=-0
1 N-m2/Cflux through Nϕ'=50*0 1+10 0 12=0
15 N-m2/Cnet flux through cube=0 15-0 1=0
05 N-m2/Cnet charge enclosed by the gauss lawqε0=0
05q=0 05*8 854*10-12=4 427*10-13 CRegards

Q. Electric field in fig is directed along + X direction and given by Ex = 5 A x+ 2 B where E is in NC-1 and x in meter , A and B are constants with dimensions . taking A = 10 N C-1 m-1 and B = 5 NC-1 , calculate (i) the electric flux through the cube (ii) net charge enclosed within the cube

Q. Electric field in fig is directed along + X direction and given by E_x = 5 A x+ 2 B where E is in NC^-1and x in meter , A and B are constants with dimensions . taking A = 10 N C^-1 m^-1 and B = 5 NC^-1 , calculate (i) the electric flux through the cube (ii) net charge enclosed within the cube