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The dimensions of an atom of the order of an angstrom. Thus there must be large electric fields between the protons and electron . Why then is the electrostatic field inside a conductor zero?

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Answer :
The electrostatic field inside a conductor is zero because the electrostatic field is due to the excess change.
Atoms are electrically netural Hence there is excess change on the atom.
If the charge is zero, then
$E= \large\frac{1}{4\pi \in_0}.\frac{q}{r^2}$
Since $q=0,E=0$
q is the charge and r is the distance at any point from the charge.
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