Question

what is the electric field from an electron 1.0cm away from it?

Answer 1

Electric field of point charge $q$ at distance $r$ from it is $E = \frac{k q}{r^2}$, where $k \approx 9 \cdot 10^9 \frac{N \cdot m^2}{C^2}$is the Coulomb's constant.

Hence, $E = \frac{k e}{r^2} = \frac{9 \cdot 10^9 \frac{N \cdot m^2}{C^2} \cdot 1.6 \cdot 10^{-19} C}{(1 \cdot 10^{-2})^2 m^2} \approx 14.4 \cdot 10^{-6} \frac{V}{m}$.