Use the principle of superposition. The E field at the center will be the sum of two cases:
(a) +3 microC at the open corner, and all three other corners
(b) -6 microC at the open corner location only
Case (a) results in a net E field at the center of zero. That leaves you with case (b), which is easily solved.
Three 3.0 microC charges are at the three corners of an square of side 0.50 m. The last corner is occupied by a -3.0 microC charge. Find the electric field at the center of the square
4 answers
584km
The total E is zero
410n/c