Charges of +0.09 and 0.01 μC are located at a dist

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Charges of +0.09 and 0.01 μC are located at a distance of 8 cm from each other. At what distance from the first charge (on the line connecting the charges) it is necessary to place the third charge, so that the forces acting on it from the side of the other two charges are equal in absolute value and opposite in direction?

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Problem 31624. A detailed solution with a brief description of the condition, formulas and laws used in the solution, the derivation of the formula and the answer.
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