Q 1 :    

According to Gauss law of electrostatics, electric flux through a closed surface depends on            [2023]

  • the area of the surface

     

  • the quantity of charges enclosed by the surface

     

  • the shape of the surface

     

  • the volume enclosed by the surface

     

(2)

For a closed surface net electric flux (Φ) depends upon the net charge enclosed. Mathematically Φ=qi0
 

 



Q 2 :    

A charge Q μC is placed at the centre of a cube. The flux coming out from any one of its faces will be (in SI unit)           [2023]
 

  • Qε0×10-6

     

  • 2Q3ε0×10-3

     

  • Q6ε0×10-3

     

  • Q6ε0×10-6

     

(4)

Total flux from any closed surface is 1ε0 times net charge enclosed. So flux from any one surface of cube is 16ε0 times total charge enclosed.

=QμC6ε0=Q×10-66ε0



Q 3 :    

If E·dS=0 over a surface, then                   [2023]

  • all the charges must necessarily be inside the surface

     

  • the electric field inside the surface is necessarily uniform

     

  • the number of flux lines entering the surface must be equal to the number of flux lines leaving it

     

  • the magnitude of electric field on the surface is constant.

     

(3)

The term E·ds represents electric flux over the closed surface and electric flux is proportional to the number of electric field lines. If E·ds=0, it means that the number of flux lines entering the surface must be equal to the number of flux lines leaving it.