Consider two solid conducting spheres of radii r1 = 2 cm and r2 = 3 cm. Sphere 1 initially carries a net charge of +6 ?C and Sphere 2 is initially neutral (it carries a net charge of 0). The two spheres are placed very far apart on the x-axis (so the electric field from sphere 1 doesn't significantly affect sphere 2). The two spheres are now connected by a long, small, conducting wire, which causes the entire Sphere 1/ Wire / Sphere 2 system to act like a single conducting object. The charges will re-distribute themselves until the conductor is in electrostatic equilibrium, at which point the wire is removed.
1.) How does the voltage at the center of Sphere 1 compare to the voltage at the surface of Sphere 1? How does the voltage at the surface of Sphere 1 compare to the voltage at the surface of sphere 2? Explain.
2.) What is the voltage at the surface of sphere 1? What is the net charge on sphere 1? On sphere 2?