a field line and an equipotential surface are
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field lines are always perpendicular to Equipotential surfaces...
Note that Equipotential Surfaces are those surface Where potential at every point is Same...
So no matter if we move a charge on equipotential surface..it always be zero...
Because Amount of work done is Potential difference times Charge...As potential is same everywhere on the equipotential surface so diffetence in Potential or Potential difference will be zero...So work done is zero..
This mean force on the charge will be zero too...
If E-field lines are not Perpendicular...then we can make its two components..one is along the normal to the Equipogential surface and other Component is along the surface...
The component along the surface means there must be a force on charge particle as we know Charge particle experience force when it kept in an Electric field...due to this force it must move...But there is no such movement...This is why Efield lines are always perpendicular to the Equipotental surface...
Note that Equipotential Surfaces are those surface Where potential at every point is Same...
So no matter if we move a charge on equipotential surface..it always be zero...
Because Amount of work done is Potential difference times Charge...As potential is same everywhere on the equipotential surface so diffetence in Potential or Potential difference will be zero...So work done is zero..
This mean force on the charge will be zero too...
If E-field lines are not Perpendicular...then we can make its two components..one is along the normal to the Equipogential surface and other Component is along the surface...
The component along the surface means there must be a force on charge particle as we know Charge particle experience force when it kept in an Electric field...due to this force it must move...But there is no such movement...This is why Efield lines are always perpendicular to the Equipotental surface...
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