Answer:
The electric field is [tex]E = 5.1*10^6N/C.[/tex]
Explanation:
The force [tex]F[/tex] on a charge [tex]q[/tex] in an electric field [tex]E[/tex] is given by
[tex]F = qE[/tex],
which can be rearranged to give
[tex]E = \dfrac{F}{q }[/tex]
Now, the force on the electron is [tex]F = 8.30*10^{-13}N[/tex], and its charge is
[tex]q = 1.6*10^{-19}C[/tex]; therefore,
[tex]E = \dfrac{8.30*10^{-13}N}{1.6*10^{-19}C}[/tex]
[tex]\boxed{E = 5.1*10^6N/C}[/tex]