Electric Fields and Electric Field Lines

Electric Field

  • Electric field is a region in space where a charge experiences force from another charge.
  • It's a region where the force effect is present.

Electric Field Lines

  • Electric field lines represent the electric field produced by a charged particle.
  • They are lines of force.
  • The direction of the electric field is the direction a positive charge would move if placed in the field.
  • Electric field lines help visualize the vector nature of the electric field.

Properties of Electric Field Lines

  • Electric field lines do not cross each other.
  • Electric field lines originate from positive charges and terminate on negative charges.
  • The lines are perpendicular to the charged surface.
  • The closer the lines, the stronger the electric field; the farther apart, the weaker the field.
  • The electric field between two parallel plates shows a uniform electric field.
  • Electric field lines move away from positive charges and towards negative charges.
  • A tangent drawn at any point on an electric field line gives the direction of the field at that point.
  • The electric field cannot have two directions at a particular point; hence, field lines never intersect.
  • The magnitude of charge and the number of field lines are proportional to each other. A larger charge will have more electric field lines.
  • Electric field lines enter or exit a charged surface in a normal (perpendicular) manner.
  • In a uniform electric field, the field lines are uniformly spaced and parallel.
  • The electric field lines are perpendicular (orthogonal) to the surface of the charged object.

Electric Fields and Conductors

  • Electric field lines cannot go through a conductor.
  • Inside a conductor in electrostatic equilibrium, the electric field is zero.
  • Electric field lines tend to contract in length due to the force of attraction between oppositely charged objects.
  • Electric lines of force tend to separate from each other laterally (perpendicular to their lengths).

Conductors in Electric Fields

  • When a conductor is placed in an external electric field, a force acts on each free electron:
    F = qE where q is the charge and E is the electric field.
  • "So, F = -eE acts on each free electron" where e is the electron.
  • Electrons accumulate on one side of the conductor, creating opposing charges (negative and positive) on opposing sides.
  • These separated charges produce their own electric field, which opposes the external field inside the conductor.
  • When enough electrons accumulate, the electric field produced by the separated charges cancels the external field inside the conductor.
  • In electrostatic equilibrium, the electric field inside a conductor is zero.

Insulators (Dielectrics) in Electric Fields

  • When placed in an electric field, insulators have practically no current flow because they lack loosely bonded free electrons.
  • Positive charges within the electric field are displaced slightly in the direction of the electric field, and negative charges are displaced in the opposite direction.
  • This slight charge separation is called polarization and reduces the electric field within the dielectric.
  • An insulator placed in a static electric field will weaken the field.