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A conducting rod carrying a total charge of +3.00 µC is bent into a semicircle of...

A conducting rod carrying a total charge of +3.00 µC is bent into a semicircle of radius R = 36.0 cm, with its center of curvature at the origin (see figure below). The charge density along the rod is given by λ = λ0 sin(θ), where θ is measured clockwise from the +x axis. What is the magnitude of the electric force on a 1.00-µC charged particle placed at the origin?

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