All Problems

Conductors and Dielectrics in an Electric Field

Problem 3.73

A non-polar molecule is located at the axis of a thin uniformly charged ring of radius \(R\). At what distance \(x\) from the ring's centre is the magnitude of the force \(F\) acting on the given molecule (a) equal to zero; (b) maximum? Draw the approximate plot \(F_{x}(x)\)

Reveal Answer
 (a) x=R/2; (b) x={1.1R (attraction) 0.29R (repulsion). See Fig. \text { (a) } x=R / \sqrt{2} ; \text { (b) } x=\left\{\begin{array}{l} 1.1 R \text { (attraction) } \\ 0.29 R \text { (repulsion). See Fig. } \end{array}\right.
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