A solid, insulating sphere of radius a = 4 cm has a uniform charge density and a total charge Q. Concentric with this sphere there is a conducting spherical shell whose inner and outer radii are b-10 cm and c-15 cm respectively. The electric field E, at a point r= 6 cm from the center is 1 x 10³ %/c pointing radially inward, while the electric field Ez at a point r = 20 cm from the center is 2 x 102/c pointing radially outward. (a) Calculate the total charge Q in the insulating sphere, in coulombs (b) Calculate the charge dinner on the inner surface of the conducting shell at r= b. (c) Calculate the charge qouter on the outer surface of the conducting shell at r-c.. insulator conductor

University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
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Chapter6: Gauss's Law
Section: Chapter Questions
Problem 70P: A point charge q=5.01012 C is placed at the center of a spherical conducting shell of inner radius...
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A solid, insulating sphere of radius a 4 cm
has a uniform charge density and a total charge Q. Concentric with
this sphere there is a conducting spherical shell whose inner and outer
radii are b-10 cm and c- 15 cm respectively. The electric
field E, at a point r= 6 cm from the center is 1 x 10³ %/c
pointing radially inward, while the electric field Ez at a point
r = 20 cm from the center is 2 x 102/c pointing radially outward.
(a) Calculate the total charge in the insulating
sphere, in coulombs
(b) Calculate the charge dinner on the inner surface of the conducting shell at r= b.
(c) Calculate the charge qouter on the outer surface of the conducting shell at r-c..
insulator
conductor
Transcribed Image Text:A solid, insulating sphere of radius a 4 cm has a uniform charge density and a total charge Q. Concentric with this sphere there is a conducting spherical shell whose inner and outer radii are b-10 cm and c- 15 cm respectively. The electric field E, at a point r= 6 cm from the center is 1 x 10³ %/c pointing radially inward, while the electric field Ez at a point r = 20 cm from the center is 2 x 102/c pointing radially outward. (a) Calculate the total charge in the insulating sphere, in coulombs (b) Calculate the charge dinner on the inner surface of the conducting shell at r= b. (c) Calculate the charge qouter on the outer surface of the conducting shell at r-c.. insulator conductor
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