All Problems

Conductors and Dielectrics in an Electric Field

Problem 3.54

A small ball is suspended over an infinite horizontal conducting plane by means of an insulating elastic thread of stiffness \(k\). As soon as the ball was charged, it descended by \(x \mathrm{~cm}\) and its separation from the plane became equal to \(l\). Find the charge of the ball.

Reveal Answer
q=4lπε0kxq=4 l \sqrt{\pi \varepsilon_{0} k x}