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22.57 • (a) An insulating sphere with 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 É = p(† – b)/3€0. (b) An insulating sphere of radius R has a spherical hole of radius a located within its volume and Figure P22.57 %3D R %3D Charge density p centered a distance b from the center of the sphere, where a

22.57 • (a) An insulating sphere with 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 É = p(† – b)/3€0. (b) An insulating sphere of radius R has a spherical hole of radius a located within its volume and Figure P22.57 %3D R %3D Charge density p centered a distance b from the center of the sphere, where a

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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22.57 (a) An insulating sphere with 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 É = p(† – b)/3€o- (b) An insulating sphere of radius R has a spherical Figure P22.57 R Charge density p 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 E is uniform over the entire hole. [Hint: Use the principle of superposi- tion and the result of part (a).]
Transcribed Image Text:22.57 (a) An insulating sphere with 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 É = p(† – b)/3€o- (b) An insulating sphere of radius R has a spherical Figure P22.57 R Charge density p 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 E is uniform over the entire hole. [Hint: Use the principle of superposi- tion and the result of part (a).]
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