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9-13. Coulomb Force in Two Dimensions

# 9-13. Coulomb Force in Two Dimensions - Coulomb Force in...

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Coulomb Force in Two Dimensions (1a) Find the magnitude and direction of the resultant force on charge q 0 . Magnitude of individual forces: F 1 , 0 = k | q 1 q 0 | r 2 1 , 0 = 5 . 62 × 10 7 N , F 2 , 0 = k | q 2 q 0 | r 2 2 , 0 = 6 . 74 × 10 7 N . Components of individual forces: F x 1 , 0 = F 1 , 0 cos45 , F y 1 , 0 = F 1 , 0 sin45 , F x 2 , 0 = 0 , F y 2 , 0 = - F 2 , 0 . 8/1/2008 [tsl9 – 1/6]

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Coulomb Force in Two Dimensions (1b) Components of resultant force: F x = F x 1 , 0 + F x 2 , 0 = 3 . 97 × 10 7 N , F y = F y 1 , 0 + F y 2 , 0 = - 2 . 77 × 10 7 N . Magnitude of resultant force: F = q F 2 x + F 2 y = 4 . 84 × 10 7 N . Direction of resultant force: θ = arctan( F y /F x ) = - 34 . 9 . 8/1/2008 [tsl325 – 2/6]
Coulomb Force in Two Dimensions (2) The unknwon point charges q 1 , q 2 exert a force F 0 = 2 N on the known point charge q 0 = 1 nC. This force is directed in the positive y -direction as shown. Determine first whether q 1 , q 2 are positive or negative. Then determine the values of the two point charges. q 0 q 1 q 2 y x 3m 3m F 0 8/1/2008 [tsl10 – 3/6]

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Coulomb Force in Two Dimensions (3) Point charges of equal magnitude are positioned at the corners of an equilateral triangle. q = 1nC 1 q = -1nC 2 q = -1nC 3 Copy this configuration and indicate by arrows the direction of the resultant force on each

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9-13. Coulomb Force in Two Dimensions - Coulomb Force in...

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