Two identical lightweight conducting balls are suspended by thin strings of identical length from a common point.

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Two identical lightweight conducting balls are suspended by thin strings of identical length from a common point. One ball is given a charge \(q\), and both are constrained in their motion by only the tension in the strings, gravity, and air resistance. Determine \(q\) in terms of \(m\), the mass of each ball; \(\ell\), the length of each string; \(d\), the final distance between the balls; and any necessary constants.

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