Placing a charge

Two positive point charges are placed on the \(x\)-axis. One, of magnitude \(4Q\), is placed at the origin. The other, of magnitude \(Q\) is placed at \(x=3~\mbox{m}\). Neither charge is able to move. Where on the \(x\)-axis in meters can I place a third positive point charge such that the magnitude of the net force on the third charge is zero?

Details and assumptions

  • Neglect gravity.
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