Two point charges are fixed on the y axis: a negative point charge q 1 = -27 ?C

Question

Two point charges are fixed on the y axis: a negative point charge q1 = -27 ?C at y1 = +0.15 m and a positive point charge q2 at y2 = +0.39 m. A third point charge q = +9.4 ?C is fixed at the origin. The net electrostatic force exerted on the charge q by the other two charges has a magnitude of 31 N and points in the +y direction. Determine the magnitude of q2.

solve with given values and show work

Two point charges are fixed on the y axis: a negative point charge q1 = -27 ?C at y1 = +0.15 m and a positive point charge q2 at y2 = +0.39 m. A third point charge q = +9.4 ?C is fixed at the origin. The net electrostatic force exerted on the charge q by the other two charges has a magnitude of 31 N and points in the +y direction. Determine the magnitude of q2. solve with given values and show work

Explanation / Answer

Fnet = F1 - F2

31   = k*q1*q/0.16^2 - k*q2*q/0.37^2

31 = 101.52 - 0.556*10^6*q2

q2 = (101.52-31)/0.556*10^6

q2 = 126.4*10^-6 C

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