## College Physics (4th Edition)

$q_A = \frac{Q}{4}$ $q_B = 0$ $q_C = \frac{Q}{4}$
Since the spheres are identical, when two spheres are brought in contact, the charges will arrange themselves so that both spheres have the same net charge. Initially: $q_A = Q$ $q_B = 0$ $q_C = 0$ After sphere A touches sphere B: $q_A = \frac{Q}{2}$ $q_B = \frac{Q}{2}$ $q_C = 0$ Since sphere C is grounded when it is touching sphere B, electrons will flow through the ground connection so that the net charge on sphere B and the net charge on sphere C are both zero. After sphere B touches sphere C: $q_A = \frac{Q}{2}$ $q_B = 0$ $q_C = 0$ After sphere C touches sphere A: $q_A = \frac{Q}{4}$ $q_B = 0$ $q_C = \frac{Q}{4}$