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The charges and coordinates of two charged particles held fixed in an xy plane are q1...

The charges and coordinates of two charged particles held fixed in an xy plane are q1 = 3.09 μC, x1 = 3.70 cm, y1 = 0.604 cm and q2 = -5.45 μC, x2 = -2.27 cm, y2 = 1.52 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 = 4.50 μC be placed such that the net electrostatic force on particle 2 due to particles 1 and 3 is zero?

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