If the electron is a point-size ball of charge, the field it creates is infinitely strong at the electron's location. This means the field would have no defined direction and thus no defined forces, which leads to problems in calculating the forces. But if the electron is instead an extended field of charge, the forces on the different parts of the electron would be finite with well-defined directions. But if the electron's charge is spread out, why don't the various parts of the electron repel one another so that the electron rapidly explodes?
Thr electron is always very near a point
Particle
The probabiñity density of finding it
Is spread out.
Inside solids an electric field will
Become shielded and short ranged
By medium polarization.
There are electron theories like
Thomas Fermi, not so simple.
Okay let us suppose that it does repel itself but due to the spherical symmetry each point has its own cancelling point at the other end of the spread. This is what I think. May not be true. This is a tough question
Any medium comtains about the same no. Of positive and negative charges ie the atom
Hence polarization and screening
Of charges
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