Solve following exam-like problem from your textbook. Follow the detailed solving directions given as hints. Upload your hand drawn diagrams and calculations in the dropbox inClassQuiz (lCQ) 1 48. ... Predict/Calculate Four point charges, each of magnitudeq, are located at the cornen of a square with sides of length a. Two of the charges are +q. and two are −q. The charges are arranged in one of the following two ways: (1) The charges altemate in sign (+4, -4 . 44, -4) as you go around the square) (2) the top two comets of the square have positive chargev (+4,+4) and the bottom two comen have negative charges (−4,−4). (a) in which case will the electric field at the center of the square have the greatest magnitudet Explain. (b) Calculate the electric field at the center of the square for each of these two cases. Hints for solving As there is no information about the place where this experiment is created, and of the position of the square, assume the simplest theoretical situation of a horizontal square in vacuum. Your solution should contain: 1)A diagram for the case (a) with the square of the center marked with the symbol O, the comers marked "1*" "2", "3", and "4", and the two diagonals drawn as broken lines. 2) The sign "4" or ". "marking the corners according to the information in the text. 3) Four properly oriented E-vectors with the tail at 0 . 4) The calculation of the E-vectors due to each of the four point charges. If this helps you, you may take a-10cm and q−0.01mC. 5) A vector diagram of the four E-fields placed head-to-tail. Employ a colored pen to draw the net E-field. 6) Calculate the magnitude of the net E-field at O from the geometry of your vector diagram in part (5) and from the results in part (4). Label this value Ea, as it is the net E. field for the arrangement (a). 7) Repeat the steps from (1) through (6) for the arrangement (b). 8) Now, answer the two questions of the groblem.