Charge Q is uniformly distributed along a thin, flexible

Chapter 23, Problem 23.84

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Charge Q is uniformly distributed along a thin, flexible rod of length L. The rod is then bent into the semicircle shown in FIGURE P23.47. a. Find an expression for the electric field E u at the center of the semicircle. Hint: A small piece of arc length s spans a small angle u = s/R, where R is the radius. b. Evaluate the field strength if L = 10 cm and Q = 30 nC.

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