1. Consider a thin ceramic coating on a substrate (i.e., a 2D system), in which are embedded 4 charges q arranged at the corners of a square of side 2a, and an additional charge Q in the center of the square. The situation is static. Consider only the two planar dimensions. a) (8 pts) Draw the situation. Draw a free body diagram of ONE of the corner charges, showing the direction and (approximate) magnitude that each of the other charges exerts on your Chosen One, and labeling your force vectors correctly and unambiguously. Do not forget your axes. Write down Newton's second law equations in each direction for the Chosen One. b) (8 pts) Do the same things, but now for the center charge Q. c) (4 pts) Find the value for Q such that the net force on the Chosen One is zero. Comment intelligently.

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03-09-2022
Physics

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1. Consider a thin ceramic coating on a substrate (i.e., a 2D system), in which are embedded 4 charges q arranged at the corners of a square of side 2a, and an additional charge Q in the center of the square. The situation is static. Consider only the two planar dimensions. a) (8 pts) Draw the situation. Draw a free body diagram of ONE of the corner charges, showing the direction and (approximate) magnitude that each of the other charges exerts on your Chosen One, and labeling your force vectors correctly and unambiguously. Do not forget your axes. Write down Newton's second law equations in each direction for the Chosen One. b) (8 pts) Do the same things, but now for the center charge Q. c) (4 pts) Find the value for Q such that the net force on the Chosen One is zero. Comment intelligently.

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