A semicircular loop of radius a carries positive charge Q distributed uniformly over its length. Find the electric field at the center of the loop. (Hint: Divide the loop into charge elements dq as shown in the figure, and write dq in terms of the angle dθ. Then integrate over θ)   This problem shows a half circle loop with a point (P) where the center would be if it was a full circle.   Please explain thoroughly, I am quite confused as for how solve this.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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A semicircular loop of radius a carries positive charge Q distributed uniformly over its length. Find the electric field at the center of the loop. (Hint: Divide the loop into charge elements dq as shown in the figure, and write dq in terms of the angle dθ. Then integrate over θ)

 

This problem shows a half circle loop with a point (P) where the center would be if it was a full circle.

 

Please explain thoroughly, I am quite confused as for how solve this.

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