Electric Field of a Uniformly Charged Ring

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SUMMARY

The discussion focuses on calculating the electric field generated by a uniformly charged ring with a radius of 8.1 cm and a total charge of 118 micro Coulombs, specifically at a point 1.15 cm along the axis from the center of the ring. The Coulomb constant used is 8.98755e9 N M^2/C^2. The correct approach involves using the formula for the electric field, E = kQ/r^2, where the distance r must be determined accurately by considering the geometry of the setup, rather than simply subtracting distances or applying the Pythagorean theorem incorrectly.

PREREQUISITES
  • Understanding of electric fields and Coulomb's law
  • Familiarity with the geometry of charged rings
  • Basic algebra for manipulating equations
  • Knowledge of units in the International System (SI)
NEXT STEPS
  • Study the derivation of the electric field formula for a charged ring
  • Learn about the application of the Pythagorean theorem in electric field calculations
  • Explore the concept of electric field lines and their representation
  • Investigate the effects of varying charge distributions on electric fields
USEFUL FOR

Students in physics, particularly those studying electromagnetism, as well as educators and anyone interested in understanding electric fields generated by charged objects.

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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?
 
Last edited:
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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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