Final answer:
The magnitude of the electric field produced by the electrons at a distance of 1.0 x 10^-10 m is 6.25 x 10^5 N/C.
Step-by-step explanation:
The magnitude of the electric field can be calculated using Coulomb's law:
Electric field (E) = Force (F) / Charge (Q)
Since the charge of an electron is -1.6 x 10-19 C and the force on an electron is the magnitude of the electrostatic force, we can rearrange the equation to solve for the electric field:
E = F / Q
Substituting the given values:
E = 1.0 x 10-13 N / 1.6 x 10-19 C
E = 6.25 x 105 N/C
Therefore, the magnitude of the electric field produced at a distance of 1.0 x 10-10 m from the electrons is 6.25 x 105 N/C.