For a closed surface $\oint \vec{E} \cdot d\vec{s} = 0$,then:

  • A
    Electric field at every point on the surface is zero.
  • B
    Electric field at every point on the surface is uniform.
  • C
    Electric field at every point on the surface is parallel.
  • D
    The number of electric field lines entering the surface is equal to the number of electric field lines exiting the surface.

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$A$ hollow cylinder has a charge $q$ coulomb within it. If $\phi$ is the electric flux in units of volt-meter associated with the curved surface $B$,the flux linked with the plane surface $A$ in units of volt-meter will be:

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Choose the incorrect statement.

$(a)$ An electrostatic field line is a continuous curve. That is,a field line cannot have sudden breaks. Why not?
$(b)$ Explain why two field lines never cross each other at any point?

Why do two electric field lines not intersect each other?

$A$ metallic solid sphere is placed in a uniform electric field. The lines of force follow the path$(s)$ shown in the figure as:

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