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Six point charges are placed on the perimeter of a circle with a radius of 0.5 meters which is centered at the origin. One charge of -16 micro-coulombs is placed at 45 degrees counter-clockwise from the +x axis and another charge of -16 micro-coulombs is placed 315 degrees counter-clockwise from the +x axis.
One charge of +9 micro-coulombs on the +y axis (90 degrees counter-clockwise from +x axis) and another charge of -9 micro-coulombs on the -y axis (270 degrees counter-clockwise from +x axis). Lastly, one charge of +3 micro-coulombs is placed at 150 degrees counter-clockwise from the +x axis and another charge of +3 micro-coulombs is placed 210 degrees counter-clockwise from the +x axis. (See sketch). What is the angle of the total electric field at the middle of the circle (origin) measured counterclockwise in degrees from the +x axis?
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