Some of the basic properties of a conductor are shown below:
1. Total charge inside a conductor is zero.
Let’s discuss this point clearly. If the net field in the conductor is zero, this means the 
is 0.
So
Then
So the result obtained from the above equations shows that the total charge inside a conductor is zero.
i.e. Q=0
2. In case of conductors charge is present only on the outer surface. Whenever we try to charge a conductor then extra charge remains on the surface of conductor. This case has again proved that the charge inside a conductor is zero.
3. Electric field which is present outside of a conductor which is fully charged is always perpendicular to the surface of the conductor at each and every point.
According to the equation
ECosθ=0
Here in the above equation θ is the angle which is made with the tangent due to electric field intensity. So
Cos θ=0 or θ =90 o.
Hence the electric field is always perpendicular to the conductor’s surface at all the points.
4. At different points of conductor the density of the surface is different. When an external electric field is applied on a conductor then all the charges present on the surface of conductor gets rearranged due to the flow of the negatively charged electrons.
Charge density is denoted by 
Hence it will be different at various points in a conductor. The value of the varies according to the charge applied. If the charge will be positive the will be positive and so on. Charge density is inversely proportional to the curvature of the surface. As the curvature area of the surface increases, the charge density decreases and vice versa.
5. Electric field inside a conductor is also zero.
6. As we talk about the electric potential of the surface, it remains same throughout.
AS E=- dV/dr=0
Therefore, V= constant
So after seeing the above result we can say that the Electric potential remains same inside or at the surface of a conductor.
