Three charged particles lie on the y-axis and are seperated by a distance d=3.0 cm as shown in the grapgh. Charges q_{1}=5uC, and q_{2}=6uC are fixed in place. The total force on q_{3} is 1000N.

a)Assume that q_{3} is positive. The goal will be to find the value of q_{3}. Start by writing an expression for the force on q_{3} due to q_{1}. Include the direction.

b) Write an expression for th force on q_{3} due to q_{2}. Include the direction.

c)Using the two expressions above and the fact that the net force is 500N, calculate the value of q_{3.}

d)What will be the electric field vetor E due to the charges q_{1} and q_{2? }

e) Draw the electric field lines on the diagram on the diagram produced by the charges q1 and q2 only.

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