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e. Although the charge on the inner solid sphere has not changed, its potential has. In terms of V, a, and b, determine the new potential on the inner sphere. Be sure to show your work.

e. Although the charge on the inner solid sphere has not changed, its potential has. In terms of V, a, and b, determine the new potential on the inner sphere. Be sure to show your work.

Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter20: Electric Potential And Capacitance
Section: Chapter Questions
Problem 22P
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SUBPART E

-2b A solid metal sphere of radius a is charged to a potential V> 0 and then isolated from the charging source. It is then surrounded by joining two uncharged metal hemispherical shells of inner radius b and outer radius 2b, as shown above, without touching the inner sphere or any source of charge. In terms of the given quantities and fundamental constants, determine the initial charge Q, on the solid sphere before it was surrounded by the outer shell. b. Indicate the induced charge on the following after the outer shell is in place. i. The inner surface of the shell ii. The outer surface of the shell Indicate the magnitude of the electric field as a function of r and the direction (if any) of the field for the regions indicated below. Write your answers on the appropriate lines. a. с. Direction i.r<a Magnitude Direction ii. a <r<b_Magnitude Direction iii. b< r< 2b Magnitudę_ Direction iv. 2b <r Magnitudę d. Does the inner sphere exert a force on the uncharged hemispheres while the shell is being assembled? Why or why not? Although the charge on the inner solid sphere has not changed, its potential has. In terms of V, a, and b, determine the new potential on the inner sphere. Be sure to show your work. e.
Transcribed Image Text:-2b A solid metal sphere of radius a is charged to a potential V> 0 and then isolated from the charging source. It is then surrounded by joining two uncharged metal hemispherical shells of inner radius b and outer radius 2b, as shown above, without touching the inner sphere or any source of charge. In terms of the given quantities and fundamental constants, determine the initial charge Q, on the solid sphere before it was surrounded by the outer shell. b. Indicate the induced charge on the following after the outer shell is in place. i. The inner surface of the shell ii. The outer surface of the shell Indicate the magnitude of the electric field as a function of r and the direction (if any) of the field for the regions indicated below. Write your answers on the appropriate lines. a. с. Direction i.r<a Magnitude Direction ii. a <r<b_Magnitude Direction iii. b< r< 2b Magnitudę_ Direction iv. 2b <r Magnitudę d. Does the inner sphere exert a force on the uncharged hemispheres while the shell is being assembled? Why or why not? Although the charge on the inner solid sphere has not changed, its potential has. In terms of V, a, and b, determine the new potential on the inner sphere. Be sure to show your work. e.
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