A conducting sphere of radius is attached to an insulating handle
PHYSICS · Multi-part · CBSE · Physics · Electrostatic Potential and Capacitance · Electrostatic Potential and Capacitance
Problem
A conducting sphere S1 of radius r is attached to an insulating handle. Another conducting sphere S2 of radius R, where R>r, is mounted on an insulating stand. Sphere S2 is initially uncharged. Sphere S1 is given charge q, brought into contact with S2, and removed. Sphere S1 is then recharged to q, brought into contact with S2, and removed. This procedure is repeated n times.
(a) Find the electrostatic energy of S2 after n such contacts with S1.
(b) What is the limiting value of this energy as n→∞?