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 kk. As soon as the ball was charged, it descended by x cmx \mathrm{~cm} and its separation from the plane became equal to ll. Find the charge of the ball.

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