Question

a constant electric field is acting along * axis . where will the equipotential surface corresponding to this field lie and why​

Answer 1

Answer:

The surface which is the locus of all points which are at the same potential is known as the equipotential surface. No work is required to move a charge from one point to another on the equipotential surface. In other words, any surface with the same electric potential at every point is termed as an equipotential surface.

Explanation:

The electric field is always perpendicular to an equipotential surface.

Two equipotential surfaces can never intersect.

For a point charge, the equipotential surfaces are concentric spherical shells.

For a uniform electric field, the equipotential surfaces are planes normal to the x-axis

The direction of the equipotential surface is from high potential to low potential.

Inside a hollow charged spherical conductor the potential is constant. This can be treated as equipotential volume. No work is required to move a charge from the centre to the surface.

For an isolated point charge, the equipotential surface is a sphere. i.e. concentric spheres around the point charge are different equipotential surfaces.

In a uniform electric field, any plane normal to the field direction is an equipotential surface.

The spacing between equipotential surfaces enables us to identify regions of a strong and weak field i.e. E= −dV/dr ⇒ E ∝ 1/dr