9.00x10\" C, and the larger one is Consider two widely separated conducting sphe

Question

9.00x10" C, and the larger one is Consider two widely separated conducting spheres, 1 and 2, the second having six times the diameter of the first. The smaller sphere initially has a positive charge q 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 charge qi. Submit Answer Incorrect. Tries 5/10 Previous Tries Find the final charge q2 Sutbinit Answer Incorrect. Tries 4/10 Previous Tries What is the ratio of the final surface charge density of sphere 1 to that of sphere 2? 6.00 You are correct. Your receipt no. is 154-3853

Explanation / Answer

after the spheres are connected by a wire , transfer of charge takes place until the electric potential is same on their surface

hence V1 = V2                                 eq-1

Given that : radius of sphere 2 = 6 radius of sphere 1

r2 = 6 r1

q1 + q2 = q

q2 = q - q1                               eq-2

using eq-1

V1 = V2

q1/r1 = q2/r2

using eq-2

q1/r1 = (q - q1)/(6 r1 )

6q1 = q - q1

q1 = q/7 = 9 x 10-6/7 = 1.3 x 10-6

q2 = q - q1 = (9 x 10-6) - (1.3 x 10-6 ) = 7.7 x 10-6 C

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