Two point charges qA = 212.0 µC and qB = 45.0 µC and a third particle with unknown charge qC are located on the x axis. The particle qA is at the origin, and qB is at x = 15.0 cm. The third particle is to be placed so that each particle is in equilibrium under the action of the electric forces exerted by the other two particles. Find (a) the required location and (b) the magnitude and the sign of the charge of the third particle.

Two point charges qA = 212.0 µC and qB = 45.0 µC and a third particle with unknown charge qC are located on the x axis. The particle qA is at the origin, and qB is at x = 15.0 cm. The third particle is to be placed so that each particle is in equilibrium under the action of the electric forces exerted by the other two particles. Find (a) the required location and (b) the magnitude and the sign of the charge of the third particle.