Would the self-created electric field at the end of a pointed conductor, such as a lightning rod, remove positive or negative charge from the conductor? Would the same sign charge be removed from a neutral pointed conductor by the application of a similar externally created electric field? (The answers to both questions have implications for charge transfer utilizing points.)

When the charge is given to a conductor of uneven shape, the charge tends to concentrate at the sharp edges, giving rise to a strong electric field at the edges compared to its body.

If a positive charge is given to a conductor of uneven shape, the positive charge concentrates at the sharp edge of the conductor where the curvature of the surface is small. When the concentration of charges at the sharp edges is high, this will result in the creation of a large electric field at the edges.

Sometimes the electric field is strong enough that it would ionize the molecules of air nearer to it. The negative charges from the ionized air molecules would flow towards the positively charged sharp edges and neutralize them.

Hence, the positive charges from the sharp edge will be removed.

In a similar manner, if the object is given a negative charge, the electric field due to the negative charge will attract the positive charge from the ionized air.

Hence, the negative charge from the sharp edge will be removed.

If an electric field created by a positive charge is applied to a neutral conductor, the field would induce negative charges on the sharp edges of the conductor. These negative charges would then be removed when they come in contact with air molecules.

In a similar manner, if the field is created by negative charges, the field will induce positive charges on the sharp edge of the conductor. These positive charges would then be removed when they come in contact with air molecules.

Thus, the externally applied field would remove the opposite charge from the conductor and the self-created field would remove a similar type of charge from sharp edges.