I NEED ANSWERS TO PARTS 3 AND 4! Please show all work for lifesaver rating Four

Question

I NEED ANSWERS TO PARTS 3 AND 4! Please show all work for lifesaver rating Four point charges are located at the corners of a square withsides of length . Two of the charges are , and two are . 1) Find the magnitude of the net electric force exerted on acharge , located at the center of the square, forthe following arrangement of charge: the charges alternate in signas you go around the square. (Express your answer in terms of thevariables , , , and appropriate constants.) 2) Find the direction of the net electric force exerted on acharge , located at the center of the square, forthe following arrangement of charge: the charges alternate in signas you go around the square. 3) Find the magnitude of the net electric force exerted on acharge , located at the center of the square, forthe following arrangement of charge: the two positive charges areon the top corners, and the two negative charges are on the bottomcorners. (Express your answer in terms of the variables , , , and appropriate constants.) 4) Find the direction of the net electric force exerted on acharge , located at the center of the square, forthe following arrangement of charge: the two positive charges areon the top corners, and the two negative charges are on the bottomcorners.

Explanation / Answer

1. magnitude of the net electric force exerted on acharge , located at the center of the square, forthe following arrangement of charge: the charges alternate in signas you go around the square=0 because of the pull directions 2. (b/c) the signs alternate 3.magnitude of force on Q due to any charge will be F = k qQ/(a/v2)² , where k = 1/4pe0 Case 1: Component of F due to q in vertical direction = F Sin 45 (downwards) there are four such forces, so resultant force on Q = 4F Sin 45 Case 2: Each charge will cancel the effect of charge located diagonally opposite to it, so net force on Q = 0 4. For 4, I think the pull will be downward b/c the Q+ will be attracted to the neg charges

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