A uniformly charged ring of radius 10.0 cm has a total charge of 66.0 μC. Find the electric field on the axis of the ring at the following distances from the center of the ring. (Choose the x-axis to point along the axis of the ring.) (a) 1.00 cm

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,

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,

Therefore the electric field on the axis of the ring is 5.85MN/C

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