The charges and coordinates of two charged particles held fixed in an xy plane are q₁ = 2.86 μC, x₁ = 4.18 cm, y₁ = 0.995 cm and 92 = -5.92 μC, x₂ = -2.70 cm, y₂ = 1.33 cm. Find the (a) magnitude and (b) direction (with respect to +x-axis in the range (-180°;180°]) of the electrostatic force on particle 2 due to particle 1. At what (c) x and (d) y coordinates should a third particle of charge q3 = 3.76 μC be placed such that the net electrostatic force on particle 2 due to particles 1 and 3 is zero? (a) Number (b) Number (c) Number i i (d) Number i Units Units Units Units

The charges and coordinates of two charged particles held fixed in an xy plane are q₁ = 2.86 μC, x₁ = 4.18 cm, y₁ = 0.995 cm and 92 = -5.92 μC, x₂ = -2.70 cm, y₂ = 1.33 cm. Find the (a) magnitude and (b) direction (with respect to +x-axis in the range (-180°;180°]) of the electrostatic force on particle 2 due to particle 1. At what (c) x and (d) y coordinates should a third particle of charge q3 = 3.76 μC be placed such that the net electrostatic force on particle 2 due to particles 1 and 3 is zero? (a) Number (b) Number (c) Number i i (d) Number i Units Units Units Units