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A semicircle of radius a is in the first and second quadrants centered on the origin.


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A semicircle of radius a is in the first and second quadrants centered on the origin. The left half of the semicircle has a charge density λ = λ0 and the right half of the semicircle has a charge density of λ = -λ0

(i) Draw the direction of the net electric field at the origin from the entire charged semicircle.  

(ii) Solve for the electric field at the origin due to the semicircle in terms of λ, a, and constants.

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