Three point charges are located at the corners of an equilateral triangle as in

Question

Three point charges are located at the corners of an equilateral triangle as in the figure below. Find the magnitude and direction of the net electric force on the 0.80 ?C charge. (Let A = 0.80 ?C, B = 7.10 ?C, and C = ?4.10 ?C

magnitude N direction ? counterclockwise from the +x-axis Three point charges are located at the corners of an equilateral triangle as in the figure below. Find the magnitude and direction of the net electric force on the 0.80 ?C charge. (Let A = 0.80 ?C, B = 7.10 ?C, and C = ?4.10 ?C magnitude N direction ? counterclockwise from the +x-axis

Explanation / Answer

The force between A and C is along the x-axis. FBA is the force of B on A FBA = 8.99E9 x 7.1E-6 x 0.8E-6 / 0.5^2 = 0.204N (direction away from B) FCA is the force of C on A. THIS LIES ON THE x-AXIS!!!! FCA = 8.99E9 x 4.1E-6 x 0.8E-6 / 0.5^2 = -0.118N (direction towards C) x-component of FBA = 0.204cos(60) = -0.102N (-x direction) y-component of FBA = 0.204sin(60) = -0.1766N (-y direction) x-component of FCA = 0.118N (+x direction) y-component of FCA = 0 Total x component = -0.059 + 0.204 = 0.016N Total y component = -0.1766N Resultant = 0.1773N Angle to the x axis = -84.82degrees (= 275.17degrees)

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