The charges and coordinates of two charged particles held fixed in an xy plane are `q_(1) = +3.0 mu C, x_(1) = 3.5 cm, y_(1) = 0.50 cm`, and `q_(2) = -4.0 mu C, x_(2) =-2.0 cm, y_(2) = 1.5 cm`. Find the (a) magnitude and (b) direction of the electrostatic force on particle 1 due to particle 2. At what (c ) x and (d) y coordinates should a third particle of charge `q_(3) = +6.0 mu C` be placed such that the net electrostatic force on particle 1 due to particles 2 and 3 is zero ?

Explanation

(a) 35N, (b) `170^(@)`, (c ) +10 cm, (d) -0.69 cm