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2. When converting resistances connected in a A formation to a Y formation as shown in the figure below, Ra b RC the resistance R,

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2. When converting resistances connected in a A formation to a Y formation as shown in the figure below, Ra b RC the resistance R, is obtained as: RI = R + R. + R. (1) a) Suppose R, = 500, R. = 2R, R. = 4R, and R. = 200+R, all measured in 2. Substitute these values into eq. (1) to obtain the following quadratic equation for R. (6 points): 4R2 - 1750R - 50000 = 0 b) Solve the above quadratic equation for R by (i) the quadratic formula and (ii) completing the square. (10 points) c) Based on your answers to part b), determine the values of Ra, R,, and Re. (4 points) Total Points: 20

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