Electric Field Due to Conductors - Problem L1

A charge exerts a force on another charge, when they are brought closer or in the area of influence.

These force can be either attractive or repulsive based on the charge.

The area up to which a charge can exert force on another charge is known as Electric Field.

Let’s see more about Electric Field.

Electric Field is defined as the area surrounding a charge up to which it can exert its force on another charge.

Electric Field can also defined as Force per unit charge.

The direction of Electric Field is radially outward in positive charge and radially inward in negative charge.

When these charges are brought closer, the field lines flows from positive charge to negative charge.

Let’s learn Electric Field due to a Conductor

Suppose a Charged Conductor is at equilibrium

Net charge of the conductor resides on its surface.

The Electric Field inside a conductor will be zero.

The external Electric Field at the surface of the Conductor is perpendicular to that surface.

Now let’s find Electric Field on the surface of the conductor.

Using Gauss Law, The flux is written as above

Gauss Law states that the total Electric Flux out of a closed surface is equal to charge enclosed divided by permittivity.

Therefore, the Electric Field is given by,

Here, we solve a problem based on this equation

Find the flux through a spherical Gaussian surface of radius surrounding a charge of .

Also find the Electric Field due to the spherical conductor.

Solution: The flux through the Gaussian surface is the charge located inside the surface.

Revision

Electric field is defined as Electric Flux per unit area.

The End