Potential V at point P on the axis of the ring.

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SUMMARY

The discussion focuses on calculating the electric potential at a point P located on the axis of a thin ring with a uniform charge distribution. The charge Q is evenly spread around the ring of radius "a", and the potential at point P, which is at a distance "x" from the center of the ring, is derived using the equation r = √(x² + a²). The participants clarify that the term "distributed around a thin ring of radius 'a'" indeed refers to the distance 'a' from the center of the ring.

PREREQUISITES
  • Understanding of electric potential and charge distribution
  • Familiarity with the geometry of a ring and its axis
  • Knowledge of the Pythagorean theorem as applied in physics
  • Basic calculus for potential calculations
NEXT STEPS
  • Study the derivation of electric potential from continuous charge distributions
  • Learn about the application of Gauss's Law in electrostatics
  • Explore the concept of electric fields generated by ring charges
  • Investigate the effects of varying the distance x on potential calculations
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone interested in understanding electric potential in systems with uniform charge distributions.

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Homework Statement


Electric charge Q is uniformly distributed around a thin ring of radius "a".Find the potential at a point p on the axis of the ring at a distance x from the centre of the ring.

Homework Equations


##r##=##√x^2+a^2##

The Attempt at a Solution


ring.png

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I just want to ask distributed around a thin ring of radius" a" does it mean at the distance "a" from the centre of the ring?
 
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At a distance from O, yes.
 

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