Answer to Question #307680 in Electricity and Magnetism for Ejhay

Question

Spheres A, B, and C have charges +8.0 𝐶, +12.0 𝐶, and −5.0 𝐶, respectively. The three spheres are allowed to touch each other simultaneously and then separated. (a) What is the total charge on the three spheres before and after touching each other? (b) What is the final charge on each sphere assuming they are identical? (c) What is the final charge on each sphere assuming that 𝑟_𝐴=𝑟_𝐵=2𝑟_𝐶?

Answer 1

a)

$Q=Q_1+Q_2+Q_3=15~C,$

b)

$Q_1'=Q_2'=Q_3'=\frac Q3=5~C,$

c)

$Q_1''=6~C,$

$Q_2''=6~C,$

$Q_3''=3~C.$