Advertisement Remove all ads

"For Any Charge Configuration, Equipotential Surface Through a Point is Normal to the Electric Field." - Physics

Advertisement Remove all ads
Advertisement Remove all ads
Advertisement Remove all ads

"For any charge configuration, equipotential surface through a point is normal to the electric field." Justify.

Advertisement Remove all ads

Solution

We know that the work done (W) in moving a test charge along an equipotential surface is zero. This is because an equipotential surface is a surface with a constant value of potential
at all the points on the surface.

∴ W = Fs cosθ = 0

Here, F is the electric force and s is the magnitude of displacement of the charge.

For non-zero displacement, this is possible only when cosθ is equal to 0.

i.e. cosθ = 0

θ = 90°

Thus, the force acting on the point charge is perpendicular to the equipotential surface. We know that the lines of force or the electric field lines indicate the direction of electric force on a charge. Thus, for any charge configuration, equipotential surface through a point is normal to the electric field.

Concept: Applications of Gauss’s Law
  Is there an error in this question or solution?
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×