Four charges -9 times 10-9 C at (0 m, 0 m), 9 times 10-9 C at (-2 m, 5 m), 7 tim

Question

Four charges -9 times 10-9 C at (0 m, 0 m), 9 times 10-9 C at (-2 m, 5 m), 7 times 10-9 C at (4 m, 1 m), and 4 times 10-9 C at (5 m, -4 m), are arranged in the (x, y) plane. Find the magnitude of the resulting force on the -9 nC charge at the origin (0 m, 0 m). The Coulomb constant is 8.98755 times 109 N middot C2/m2. Answer in units of N What angle does the resultant force on the -9 times 10-9 C charge at the origin make with the positive x axis? Quadrant I lies between 0 degree and 90 degree, quadrant II between between 90 degree and 180 degree, etc Three charges are arranged in the (x, y) plane as shown.

Explanation / Answer

The answer of the question on the top page:

V = k (q1/r1 + q2/r2 +q3/r3) = 8.99e9*1e-9* (9/5.38516 + 7/4.123 + 4/6.4031) = 35.9 V

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