Two small metal spheres having equal charge and mass are suspended from some point on…
PHYSICS · Subjective · A Level · Physics · Fields and their consequences · Fields and their consequences
Problem
Two small metal spheres having equal charge and mass are suspended from some point on the ceiling of a damp room with silk threads of equal length. Let center to center distance between sphere be x, x≪l, l is length of silk thread. Due to ionization of medium, charge leaks off from each sphere and they keep on coming closer to each other at a constant rate. Let their approach velocity v varies as v∝x−1/2. If mass of each sphere is m then the rate at which charge varies with respect to time is dtdq∝2Nl2πϵ0mg. Find the value of N.