The charges q1, q2, q3, and q4 lie at the corner points of the cube as shown in the figure above. The position of the charge q3 is at the center of the coordinates. If the length of the side of the cube a = 1m

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The charges q1, q2, q3, and q4 lie at the corner points of the cube as shown in the figure above. The position of the charge q3 is at the center of the coordinates. If the length of the side of the cube a = 1m and the magnitude of the electric charge q1 = q3 = 1 nC, q2 = q4 = -1 nC
a. Draw all the electric forces and electric fields on charge q3
b. Write down the position vectors of the electric force and electric field of all charges with respect to q3
c. Determine the unit vector of the position vector in problem b!
d. Calculate the electric force vector and electric field of each on charge q3!
e. Calculate the vector total/result of electric force and electric field on charge q3!
f. Determine the magnitude and direction of the force and electric field on charge q3 (F3 and E3)

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