In the uniform charge distribution shown in Figure P23.56, each of the three arcs forms one-fourth of the circumference of a ring. The upper right and lower left arcs each carry a positive charge \(q\), while the upper left arc carries a charge \(-q\). Determine the electric field at \(\mathrm{P}\), the ring center, in terms of \(q\) and \(R\).

Data from Figure P23.56

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