Answer is A Consider three identical metal spheres, A, B, and C. Sphere A carrie

Question

Answer is A Consider three identical metal spheres, A, B, and C. Sphere A carries a charge of -4.0 mu C; sphere B carriers a charge of -12.0 mu C; and sphere C carries a charge of +10.0 mu C Spheres A and B are touched together and then separated. Spheres B and C are then touched and separated. Does sphere C end up with an excess or a deficiency of electrons and how many electrons is it? a) deficiency, 6.25 times 10^12 b) excess, 6 25 times 10^12 c) excess, 1.00 times 10^6 d) deficiency, 3.75 times 10^13 e) deficiency, 3.75 times 10^13

Explanation / Answer

Given

   three identical spheres are A,B,C

of charges A = -4*10^-6 C

   B = -12*10^-6 C

   C = +10*10^-6 C

when A,B are touched and separated so the charge will be equally distributed in A,B

that is -4-12 = -16*10^-6 /2 = -8*10^-6 C

now sphere B , C are touched and separated the net charge is on each sphere is

   -8*10^-6+10*10^-6 = +2*10^-6 C
average charge on each sphere is +1*10^-6 C

we know that 1 e charge = 1.6*10^-19 C , so the charge of +1*10^-6 C compraises of electrons 1*10^-6 /(1.6*10^-19) = 6.25*10^12 electrons

so the sphere C is defficiet of 6.25*10^12 electrons

the answer is A

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