Consider a small sphere (an actual sphere, not a Gaussian surface) of radius R = 0.1 m that is charged throughout its interior, but not uniformly so. The charge density is p = Br , where r is the distance from the center, and B = 10ʻ C/m* is a constant. Of course, for r greater than R, the charge density is zero. R= 0.1 m (a) What does the charge density converge to as you approach the center of the sphere? Does it increase or decrease as we move toward the surface? Explain. (b) What does E converge to as you approach the center of the sphere? How do you know? How does this compare to the E of a point charge? [Hint: Consider the symmetry of the problem.]

Consider a small sphere (an actual sphere, not a Gaussian surface) of radius R = 0.1 m that is charged throughout its interior, but not uniformly so. The charge density is p = Br , where r is the distance from the center, and B = 10ʻ C/m* is a constant. Of course, for r greater than R, the charge density is zero. R= 0.1 m (a) What does the charge density converge to as you approach the center of the sphere? Does it increase or decrease as we move toward the surface? Explain. (b) What does E converge to as you approach the center of the sphere? How do you know? How does this compare to the E of a point charge? [Hint: Consider the symmetry of the problem.]

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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