A point charge of -8.3 micro-coulombs is placed at the origin (x = 0, y = 0). An

Question

A point charge of -8.3 micro-coulombs is placed at the origin (x = 0, y = 0). Another point charge of -9.9 micro-coulombs is placed at x = +2.7 m, y = +2.9 m. What is the x coordinate of point where the total electric field produced by these two charges is zero? Answer in meters. Hint: Find the distance between the charges and then place these two charges on the x axis separated by the distance between them. Then, follow the example from the notes to find the spot where the field is zero in that case. After that, "rotate" that picture to the actual picture and use trigonometry.

Explanation / Answer

Electric field will be zero in line connecting two points

Thus y =2.9x/2.7

Electric field formula =KQ/r^2

K*8.3/(x^2+(2.9x/2.7)^2) =K*9.9/((2.7-x)^2+(2.9-2.9x/2.7)^2)

((2.7-x)^2+(2.9-2.9x/2.7)^2)/(x^2+(2.9x/2.7)^2) =9.9/8.3

x= 1.29

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