Question

Some charge is given to its conductor. Then its potential ?

Answer 1

Charge, basic property of matter carried by some elementary particles that govern how the particles are suffering from an electrical or magnetic flux. Charge, which can be positive or negative, then it occurs in discrete natural units and is neither created nor destroyed.

Complete answer:
When some charges are given to a conductor then their entire charge is distributed over its surface only. When the conductor is inside, then its field is zero whereas potential is the same as on the surface. Hence, throughout the conductor, potential is the same as the entire conductor is equipotential.

Potential of a conductor always depends on the dimensions and shape of the conductor.
-When any charge '$q$' is given to the isolated conductor, then its potential will change.
-The change in potential depends on the dimensions and shape of the conductor.
Electrostatic potential is constant throughout the quantity of the conductor. The potential of every conductor remains unchanged on the addition of charges. Electric field intensity $E$ is zero within a conductor.
Therefore, $V$ = constant. [Here $V$ is potential].

Hence, potential remains the same throughout the conductor when some charge is given to conductor.

Note: The distribution of charges at the outer surface doesn't depend upon how the fees are distributed at the inner surface, since the E-field inside the body of the metal is zero. The magnitude of that charge is on the outer surface; it always depends upon the magnitude of the charge inside, however.