To solve this problem we will apply the mathematical consideration of the electric field on an axial axis of a ring. This definition is already established mathematically and is a subordinate of the definition of the magnetic field of Coulomb's laws. It can be expressed as,
[tex]E = \frac{kQx}{\sqrt{(x^2+R^2)^3}}[/tex]
Here,
k = Coulomb's constant
Q = Charge
x = Distance on the axial line
R = Radius of the circle or ring
At x = 1 cm, we have that the total charge is 66.0 μC and the radius 0.1m, then replacing,
[tex]E = \frac{(9*10^9)(66*10^{-6})(0.01)}{\sqrt{((0.01)^2+(0.1)^2)^3}}[/tex]
[tex]E = 5.85*10^6 N/C[/tex]
Therefore the electric field on the axis of the ring is 5.85MN/C
