Four identical metal spheres have charges of qA = -8.0 µC, qB = -2.0 µC, qC = +5

Question

Four identical metal spheres have charges of qA = -8.0 µC, qB = -2.0 µC, qC = +5.0 µC, and qD = +12.0 µC.
(a) Two of the spheres are brought together so they touch, and then they are separated. Which spheres are they, if the final charge on each one is +5.0 µC?


(b) In a similar manner, which three spheres are brought together and then separated, if the final charge on each of the three is +3.0 µC?


(c) The final charge on each of the three separated spheres in part (b) is +3.0 µC. How many electrons would have to be added to one of these spheres to make it electrically neutral?
N =

Explanation / Answer

from the conservation of charges the net charge of isolated system remains constant . a) the final charge on each sphere is 5C, teh final net charge on both sphere is 2*5C = 10C. the intial net charge must also be 10C. the only spheres whose net charge is 10C are B and D b) since the final charge on each sphere is 3C, the final net charge on the 3 spheres is 3* 3C = 9C the intial net charge must also be 9C the only sphere whose net charges are A,C and D -8C+5C+12C = 9C c) from the part b the final charge in each sphere is 3C to become neutral we would to add -3C     number of electrons is          Q= Ne           N = Q/e              = -3C/1.6*10^-19C = 1.9 * 10^13

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