Electric field is the electrostatic force per unit charge acting on a vanishingly small test charge placed at that point. It is a vector quantity and the electric field inside a charged conductor is zero. Electric flux ϕ is the total number of electric lines of force passing through a surface in a direction normal to the surface when the surface is placed inside the electric field.

A positive charge Q is uniformly distributed along the circular ring of radius R. A small test charge q is placed at the centre of the ring as shown.

• Electric field is the electrostatic force per unit charge acting on a vanishingly small test charge placed at that point.
• It is a vector quantity and the electric field inside a charged conductor is zero.
• Electric flux ϕ is the total number of electric lines of force passing through a surface in a direction normal to the surface when the surface is placed inside the electric field.
• A positive charge Q is uniformly distributed along the circular ring of radius R.
• A small test charge q is placed at the centre of the ring as shown.

The electric field is defined as the force experienced by a small test charge placed in a specific location, divided by the magnitude of that charge. It is important to note that this field is a vector quantity, meaning it has both magnitude and direction. Inside a charged conductor, the electric field is zero due to the redistribution of charges.

Understanding Electric Flux

Electric flux (ϕ) represents the total number of electric field lines passing through a given surface area. This measurement is taken in a direction that is perpendicular (normal) to the surface. When a surface is positioned within an electric field, the electric flux can be calculated based on the strength of the field and the area of the surface.

Scenario with a Charged Ring

Consider a scenario where a positive charge Q is evenly spread along a circular ring with a radius R. If a small test charge q is placed at the center of this ring, the electric field at that point can be analyzed. Due to the symmetry of the charge distribution, the electric field contributions from all parts of the ring will cancel each other out, resulting in a net electric field of zero at the center.

• Electric Field: Zero at the center of the ring.
• Electric Flux: Depends on the area and strength of the electric field.

This example illustrates key concepts in electrostatics, emphasizing the behavior of electric fields and flux in relation to charge distributions.