Electric Potential -- work due to a non-conducting ring

AI Thread Summary
The discussion focuses on calculating the work needed to move a point charge in the electric field of a uniformly charged ring. The relevant equation for potential energy is provided, and the solution involves the difference in potential energy at two points, leading to the expression W=ΔU. Participants seek clarification on the derivation of the term (1/r - 1/√(r² + x²)), which relates to the distances involved in the problem. The variables r and x represent the radius of the ring and the position of the point charge along the x-axis, respectively. Understanding these concepts is crucial for solving the problem accurately.
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Homework Statement


A charge of q1=-9.8 nC is uniformly distributed around a thin plastic ring lying in a yz plane with the ring center at the origin. A q2= -8.0 pC point charge is located on the x axis at x = 3.4 m. For a ring radius of 1.2 m, how much work must an external force do on the point charge to move it to the origin?

Homework Equations


U=W= (q1q2)/(4πεr)

The Attempt at a Solution


it says in the solution that W=ΔU= ( q1q2)/(4πε) * ( 1/r - 1/ √(r^2 + x^2) ) ; can someone please explain where did we get the ( 1/r - 1/ √(r^2 + x^2) ) from?
Thank you !
 
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You got it from the solutions...nyuck nyuck nyuck

What do r and x represent?
 
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