All Problems

Constant Electric Field in a Vacuum

Problem 3.30

There are two thin wire rings, each of radius \(R,\) whose axes coincide. The charges of the rings are \(q\) and \(-q .\) Find the potential difference between the centres of the rings separated by a distance \(a\).

Reveal Answer
Δφ=q2πε0R(1−11+(a/R)2)\Delta \varphi=\frac{q}{2 \pi \varepsilon_{0} R}\left(1-\frac{1}{\sqrt{1+(a / R)^{2}}}\right)
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