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Four point charges are located at the corners of a square with sides of length a. Two of the charges are +q, and two are -q. Find the magnitude and direction of the net electric force exerted on a charge +Q, located at the center of the square, for each of the following two arrangements of charge: a) The charges alternate in sign (+q, -q, +q, -q) as you go around the square (starting in the upper left) b) the two positive charges are on the top corners, and the two negative charges are on the bottom corners.

Four point charges are located at the corners of a square with sides of length a. Two of the charges are +q, and two are -q. Find the magnitude and direction of the net electric force exerted on a charge +Q, located at the center of the square, for each of the following two arrangements of charge: a) The charges alternate in sign (+q, -q, +q, -q) as you go around the square (starting in the upper left) b) the two positive charges are on the top corners, and the two negative charges are on the bottom corners.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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If you can break down this problem as much as you can i would really appreciate it.  I have the solution to the problem given to me.  I just dont know how to get to the end point.

I also know that part a exibits no electric force so we dont have to go through that.  Just part b.

**Problem Statement: Electric Forces in a Square Charge Configuration** Four point charges are located at the corners of a square with sides of length \( a \). Two of the charges are \( +q \), and two are \( -q \). Find the magnitude and direction of the net electric force exerted on a charge \( +Q \), located at the center of the square, for each of the following two arrangements of charge: a) The charges alternate in sign \( (+q, -q, +q, -q) \) as you go around the square (starting in the upper left). b) The two positive charges are on the top corners, and the two negative charges are on the bottom corners. **Diagram Explanation:** No specific diagrams or graphs accompany this problem in the original text. However, the problem refers to a conceptual square setup. To visualize: - For arrangement (a), imagine the square divided into four quarters with alternating charges at each corner: starting from the upper left and moving clockwise, the charges are \( +q, -q, +q, -q \). - For arrangement (b), the square is oriented such that the top two corners have \( +q \) charges, while the bottom two corners have \( -q \) charges. Both setups involve calculating the net force on a central charge \( +Q \) due to the symmetrical distribution of corner charges.
Transcribed Image Text:**Problem Statement: Electric Forces in a Square Charge Configuration** Four point charges are located at the corners of a square with sides of length \( a \). Two of the charges are \( +q \), and two are \( -q \). Find the magnitude and direction of the net electric force exerted on a charge \( +Q \), located at the center of the square, for each of the following two arrangements of charge: a) The charges alternate in sign \( (+q, -q, +q, -q) \) as you go around the square (starting in the upper left). b) The two positive charges are on the top corners, and the two negative charges are on the bottom corners. **Diagram Explanation:** No specific diagrams or graphs accompany this problem in the original text. However, the problem refers to a conceptual square setup. To visualize: - For arrangement (a), imagine the square divided into four quarters with alternating charges at each corner: starting from the upper left and moving clockwise, the charges are \( +q, -q, +q, -q \). - For arrangement (b), the square is oriented such that the top two corners have \( +q \) charges, while the bottom two corners have \( -q \) charges. Both setups involve calculating the net force on a central charge \( +Q \) due to the symmetrical distribution of corner charges.
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