Charge Distribution on a thin Conductive Plate

Charge Distribution on a thin Conductive Plate

Charges on the conductor plate are assumed to be (-).
The thickness of the conductor plate is assumed to be very thin.
Charges on the conductor plate can move freely.
Charges of the same polarity exert a repulsive force on one another and move away from one another.
Why are the charges as close to the edge of the conductor plate as possible?

The reason charges were driven to the edge of the conductor plate

When we hold an object and release it, it falls. This is because it is the most stable state.
All of these particles will have the lowest potential energy under the conditions in which they are present.
Particles with the same polarity on the conductor surface will have lower potential energy as they are farther apart because of the pushing force.