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.

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.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter25: Gauss’s Law

Section: Chapter Questions

Problem 68PQ: Examine the summary on page 780. Why are conductors and charged sources with linear symmetry,...

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