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Four point charges are held fixed in space on the corners of a rectangle with a length of 20 [cm] (in the horizontal direction) and a width of 10 [cm] (in the vertical direction). Starting with the top left corner and going clockwise, the charges are q1=+10 [nC] , q2=−10[nC] , q3=−5[nC] , and q4=+8[nC] .
a) Find the magnitude and direction of the electric force on charge q4
b) Find the magnitude and direction of the electric field at the midpoint between q3
and q4
c) Find the magnitude and direction of the electric field at the center of the rectangle.

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