Meandering charge

Two charges Q=+1 mC are placed along the x-axis at x=-2 meters and x=2 meters. The charges are fixed in space. A third charge, which is free to move and has charge q=-0.1 mC and mass m=1g, is placed along the y-axis at y=0.01 meters and released. How long does it take in seconds for the charge to come back to y=0.01?

Details and assumptions

  • \(k=(4 \pi \epsilon_0)^{-1}= 9 \times 10^9~Nm^2/C^2\)
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