Equipotential surface

An equipotential surface is a surface on which electric potential has the same value everywhere. Moving a charge along it requires no work against the electric field.

Electric potential: Electric potential is electric potential energy per unit charge at a point in an electric field. An equipotential surface is a set of points sharing one value of this scalar quantity.
Point charge: A point charge is an idealized electric charge concentrated at a single location. Its equipotential surfaces are concentric spheres in three dimensions.
Electrostatics: Electrostatics is the study of electric charges at rest and the fields they produce. Equipotential surfaces are a geometric tool for describing electrostatic fields.
Electrostatic shielding: Electrostatic shielding reduces electric fields in a region using surrounding conductive material. A closed conducting surface becomes equipotential and can shield its interior.
Electric field: An electric field is a vector field describing the force per unit positive charge at each point. The field points perpendicular to equipotential surfaces and toward decreasing potential.
Uniform electric field: A uniform electric field has constant magnitude and direction throughout a region. Its equipotential surfaces are equally spaced parallel planes.
Electric potential energy: Electric potential energy is the energy associated with the positions of charges in an electric field. Potential is this energy expressed per unit charge.
Laplace's equation: Laplace's equation states that a function's Laplacian is zero in a source-free region. Electric potential satisfies it in charge-free regions, constraining possible equipotential shapes.
Work (physics): Work is energy transferred when a force acts through a displacement. Displacement along an equipotential surface entails zero work by the electrostatic field.
Electric dipole: An electric dipole is a pair of equal and opposite charges separated by a distance. Its curved equipotential surfaces show how nearby fields combine.

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