If we take two plastic spheres and give them a positive electric charge, what is

Question

If we take two plastic spheres and give them a positive electric charge, what is the charge on each sphere if one sphere is 8 times the charge of the other and they are separated by 30 cm and the repulsive force between them is 0.88 N? Given c = 8.85 times 10^-12 m^-3 Kg^-3 s^4 A^2 (Charge is uniformly distributed over the spheres) 8.6 times 10^-7 C, 3.4 times 10^-6 C 1.8 times 10^-8 C, 2.6 times 10^-7 C 1.0 times 10^-6 C, 8.0 times 10^-6 C 8.4 times 10^-7 C, 5.9 times 10^-6 1.0 times 10^-6 C, 1.0 times 10^-6 C

Explanation / Answer

Q1=Q, Q2=8*Q, r=0.3m, F=0.88N

=>F=k*Q1*Q2/r^2

=>8.99*10^9*8*Q^2/0.3^2=0.88

=>Q^2=0.88*0.3^2/(8.99*10^9*8)=1.1*10^-12

=>Q=1.0*10^-6C=Q1

Q2=8*1.0*10^-6C=8.0*10^-6C

answer is C

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