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    electric field of a semicircular charge distribution

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    Positive charge Q is uniformly distributed on a semicircle of radius alpha (see the attachment).

    Find the magnitude of the electric field at the center of curvature P.

    What is the direction of the electric field at the center of curvature P?

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    Solution Summary

    The solution shows how to construct and solve the integral to find the electric field in the center of the semicircle curvature.