A semicircle of radius a is in the first and second quadrants, with the center of curvature at the origin. Positive charge +Q is distributed uniformly around the left half of the semicircle, and negative charge −Q is distributed uniformly around the right half of the semicircle in the following figure. What is the magnitude and direction of the net electric field at the origin produced by this distribution of charge?

Physics for Scientists and Engineers: Foundations and Connections
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ISBN:9781133939146
Author:Katz, Debora M.
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Chapter24: Electric Fields
Section: Chapter Questions
Problem 35PQ: A positively charged disk of radius R = 0.0366 m and total charge 56.8 C lies in the xz plane,...
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A semicircle of radius a is in the first and second quadrants, with the center of curvature at the origin. Positive charge +Q is distributed uniformly around the left half of the semicircle, and negative charge −Q is distributed uniformly around the right half of the semicircle in the following figure.

What is the magnitude and direction of the net electric field at the origin produced by this distribution of charge?

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