What is the potential difference between a point at a distance a/2 from the center and a point on the outer surface of the conducting spherical shell? (V(r= a/2) – V(r = b)=?)

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 64PQ: A uniform spherical charge distribution has a total charge of 45.3 mC and a radius of 15.2 cm. It is...
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Can you solve the eleventh and thirteenth questions?

Questions 9-13
A point charge Q1 is located at the center of a thick metal shell of inner radius a and outer radius b as shown in the figure.
The charge on the outer surface of the metal shell in this configuration is Q2.
9. What is the total charge on inner surface (r = a) of the conducting spherical shell?
Q2
(a) Q1
(b) —Q1 (с) -2Q1 + Q2
(d) Q2
(e) Q2 - Q1
10. What is the electric field at any point in the cavity inside the spherical shell? (Er<a =?)
a
(a) & 201-2f (b) &오부Qaf (e) k우f (d) k오요af (e) k윤#
11. What is the potential difference between a point at a distance a/2 from the center and a point
Von the outer surface of the conducting spherical shell? (V(r= a/2) – V(r = b)=?)
(a) k오+Qz
(b) k2
(c) k왕
(d) &몬 (e) k오둥와
12. What is the electric field at any point in the region r > b? (Ē,>b=?)?
(a) k 2Q1-2af (b) &오 오af (c) k완f (d) &오+요af (e) k완f
13. What is the total energy stored in the electric field outside the spherical shell in the region b < r <o? (Up<r<∞ =?)
(a) (b) S
(c) (d)
Q+Q?
(e) -Q
8TEga
Transcribed Image Text:Questions 9-13 A point charge Q1 is located at the center of a thick metal shell of inner radius a and outer radius b as shown in the figure. The charge on the outer surface of the metal shell in this configuration is Q2. 9. What is the total charge on inner surface (r = a) of the conducting spherical shell? Q2 (a) Q1 (b) —Q1 (с) -2Q1 + Q2 (d) Q2 (e) Q2 - Q1 10. What is the electric field at any point in the cavity inside the spherical shell? (Er<a =?) a (a) & 201-2f (b) &오부Qaf (e) k우f (d) k오요af (e) k윤# 11. What is the potential difference between a point at a distance a/2 from the center and a point Von the outer surface of the conducting spherical shell? (V(r= a/2) – V(r = b)=?) (a) k오+Qz (b) k2 (c) k왕 (d) &몬 (e) k오둥와 12. What is the electric field at any point in the region r > b? (Ē,>b=?)? (a) k 2Q1-2af (b) &오 오af (c) k완f (d) &오+요af (e) k완f 13. What is the total energy stored in the electric field outside the spherical shell in the region b < r <o? (Up<r<∞ =?) (a) (b) S (c) (d) Q+Q? (e) -Q 8TEga
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