Physics
Physics
Problem
A student performs an experiment with two small identical conducting spheres placed on a smooth insulating table. a. (a) The spheres carry charges and respectively and are kept apart in air. Calculate the magnitude of the electrostatic force each sphere experiences and state its direction on the sphere with respect to the other. b. (b) The spheres are gently moved apart until the force calculated in part (a) becomes exactly one-third of its initial value while the charges remain unchanged. Determine the new separation between the spheres. c. (c) Express the answer obtained in part (b) in millimetres to the nearest whole number.Intuitive explanation
When two identical conducting spheres touch, they share charge equally because charge distributes uniformly across a conductor's surface. The key insight is that you need to track charge before and after contact separately—use conservation of charge to find the total, then split it evenly between the spheres. After they separate, each sphere's new charge determines its behavior in electric fields or forces.
Intuitive explanation
When two identical conducting spheres touch, they share charge equally because charge distributes uniformly across a conductor's surface. The key insight is that you need to track charge before and after contact separately—use conservation of charge to find the total, then split it evenly between the spheres. After they separate, each sphere's new charge determines its behavior in electric fields or forces.