The charges and coordinates of two charged particles held fixed in an xy plane are q1 = +2.9 ?C, x1 = 3.5 cm, y1 = 0.50 cm and q2 = -4.1 ?C, x2 = -2.0 cm, y2 = 1.5 cm.
(a) Find the magnitude and direction of the electrostatic force on particle 2 due to particle 1.
(b) At what x and y coordinates should a third particle of charge q3 = +4.7 ?C be placed such that the net electrostatic force on particle 2 due to particles 1 and 3 is zero?