Electric Field of a Uniformly Charged Ring

AI Thread Summary
To find the electric field on the axis of a uniformly charged ring, the total charge and distance from the center must be accurately applied in the equations for electric force and field. The problem involves a ring with a radius of 8.1 cm and a charge of 118 micro Coulombs, with the electric field calculated at a point 1.15 cm from the center. There is confusion regarding the correct distance to use in the calculations, specifically whether to subtract the axial distance from the radius or apply the Pythagorean theorem. Clarification is needed on the interpretation of "axis" in the context of the problem. Accurate calculations will yield the electric field in units of N/C.
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Homework Statement


A uniformly charged ring of radius 8.1 cm has a total charge of 118 micro Coulombs. The value of the Coulomb constant is 8.98755e9 N M^2/C^2. Find the magnitude of the electric field on the axis of the ring at 1.15 cm from the center of the ring. Answer in units of N/C.

Homework Equations


F= k Qq/ r^2
E= kq/r^2

The Attempt at a Solution


I tried subtracting 1.15 cm from 8.1 cm for "r" and plugged that "r" value in the F equation but that answer is wrong. By axis , do they mean horizontally (as in along the diameter) or vertically?
 
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do i just do the pyth. theorem to solve for "r" ( square root of 8.1^2 + 1.15^2)?
 

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