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Four charges, two positive charges on the x-axis and two negative charges on the y-axis sit at a distance a = 9.5 centimeter from the origin. Another positive point charge with charge Q = 61 (mu)C is placed at point on the x-axis a distance b = 1.5 meter to the right of this arrangement. The positive and negative charges have charge of q = 6 (mu)C and -6 (mu)C correspondingly.
a. Write an expression for the component of the force in the x-direction on the point charge at P due to the negative charges.
b. Write an expression for the x-component of the force on the point charge due to the nearest positive charge.
c. Write an expression for the expression for the x-component of the force on the point charge due to the farthest positive charge.
d. Find the total force in the x-direction on the point charge.
Find positions of four charges in a plane (+1C, -1C, +2C, -2C) that result in an equilibrium (zero net force on each charge). Report positions as four (x,y) pairs.
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