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Ratio of Final Surface Charge

Consider two widely separated conducting spheres, 1 and 2, the second having three times the diameter of the first. The smaller sphere initially has a positive charge q = 7.00×10-6 C, and the larger one is initially uncharged. You now connect the spheres with a long thin wire. How are the final potentials V1 and V2 of the spheres related? Find the final charges q1 and q2. What is the ratio of the final surface charge density of sphere 1 to that of sphere 2?

Solution Preview

As the spheres are conductors and are connected by a conductor, they must have the same potential

V_1 = V_2 = V

If their radii are r_1 = r and r_2 = 3r, respectively, their potentials ...

Solution Summary

With full formulas, calculations and explanations, the problem is solved.