we conclude that the direction of the electric field acting on the center charge is along the B direction.
What is the direction of the electrical field acting at the center?
Remember that charges of equal signs repel each other and charges of different signs attract each other.
Now, on the image we can see 4 positive charges.
Two of them are located in opposite vertices of the square, then, the force that these charges do on the middle charge is almost canceled.
Then most of the force on the middle charge comes from the one that is at the bottom left force, and because both charges have equal sign, the force will be towards the upper right vertex of the square.
Now, remember that the force is:
F = q*E
Where q is the charge and E is the electric field. Because the charge is positive, we conclude that the force must have the same direction that the electric field, then we conclude that the direction of the electric field acting on the center charge is along the B direction.
If you want to learn more about electric fields:
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