43. •• CALC Figure P23.43 shows a thin rod of length L with total charge Q. a. Find an expression for the electric field strength at point P on the axis of the rod at distance r from the center. b. Verify that your expression has the expected behavior if r » L. c. Evaluate E at r = 3.0 cm if L = 5.0 cm and Q = 3.0 nC. Figure P23.43

43. •• CALC Figure P23.43 shows a thin rod of length L with total charge Q. a. Find an expression for the electric field strength at point P on the axis of the rod at distance r from the center. b. Verify that your expression has the expected behavior if r » L. c. Evaluate E at r = 3.0 cm if L = 5.0 cm and Q = 3.0 nC. Figure P23.43

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter23: Continuous Charge Distributions And Gauss's Law

Section: Chapter Questions

Problem 4P: The electric field along the axis of a uniformly charged disk of radius R and total charge Q was...

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The electric field along the axis of a uniformly charged disk of radius R and total charge Q was calculated in Example 23.3. Show that the electric field at distances x that are large compared with R approaches that of a particle with charge Q = R2. Suggestion: First show that x/(x2 + R2)1/2 = (1 + R2/x2)1/2 and use the binomial expansion (1 + )n = 1 + n, when 1.
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