Four equal point charges, each of magnitude `+Q`, are to be placed in equilibrium at the corners of a square. What should be the magnitude and sign of the point charge that should be placed at the center of the square to do this job?
A. `-(q)/(2)(1+2sqrt(2))`
B. `(q)/(2)(1+2sqrt(2))`
C. `-(q)/(4)(1+2sqrt(2))`
D. `-(q)/(4)(1+2sqrt(2))`