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Topic Question Set

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=qi∈0
 

 

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.