Kindly input complete solutions as much as possible, thanks! 22.57 (a) An insulating sphere with Figure P22.57radius a has a uniform charge density p. Thesphere is not centered at the origin but at7 = b. Show that the electric field inside thesphere is given by É = p(7 – b)/3€0. (b) Aninsulating sphere of radius R has a sphericalbCharge density ehole of radius a located within its volume andcentered a distance b from the center of thesphere, where a

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22.57 · (a) An insulating sphere with Figure P22.57 radius a has a uniform charge density p. The sphere is not centered at the origin but at i = b. Show that the electric field inside the sphere is given by E = p(7 – b)/3€0. (b) An insulating sphere of radius R has a spherical Charge density e hole of radius a located within its volume and centered a distance b from the center of the sphere, where a < b < R (a cross section of the sphere is shown in Fig. P22.57). The solid part of the sphere has a uniform volume charge density p. Find the magnitude and direction of the electric field É inside the hole, and show that É is uniform over the entire hole. [Hint: Use the principle of superposi- tion and the result of part (a).]

22.57 · (a) An insulating sphere with Figure P22.57 radius a has a uniform charge density p. The sphere is not centered at the origin but at i = b. Show that the electric field inside the sphere is given by E = p(7 – b)/3€0. (b) An insulating sphere of radius R has a spherical Charge density e hole of radius a located within its volume and centered a distance b from the center of the sphere, where a < b < R (a cross section of the sphere is shown in Fig. P22.57). The solid part of the sphere has a uniform volume charge density p. Find the magnitude and direction of the electric field É inside the hole, and show that É is uniform over the entire hole. [Hint: Use the principle of superposi- tion and the result of part (a).]

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 49PQ

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